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Finding the Fourth Proportional to 7,816,793.60, 11,724,801.60 and 4,030,659.20

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Solution

The fourth proportional to 7,816,793.60, 11,724,801.60 and 4,030,659.20 is: 6,045,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,793.60 : 11,724,801.60 = 4,030,659.20 : x
  2. Step 2: Convert to fraction form
    7,816,793.60/11,724,801.60 = 4,030,659.20/x
  3. Step 3: Cross multiply
    7,816,793.60x = 11,724,801.60 × 4,030,659.20
  4. Step 4: Simplify right side
    7,816,793.60x = 47,258,679,437,214.72
  5. Step 5: Solve for x
    x = 47,258,679,437,214.72/7,816,793.60
  6. Step 6: Final answer
    x = 6,045,788.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.