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Finding the Fourth Proportional to 8,201.60, 12,300.40 and 2,357.60

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Solution

The fourth proportional to 8,201.60, 12,300.40 and 2,357.60 is: 3,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.60 : 12,300.40 = 2,357.60 : x
  2. Step 2: Convert to fraction form
    8,201.60/12,300.40 = 2,357.60/x
  3. Step 3: Cross multiply
    8,201.60x = 12,300.40 × 2,357.60
  4. Step 4: Simplify right side
    8,201.60x = 28,999,423.04
  5. Step 5: Solve for x
    x = 28,999,423.04/8,201.60
  6. Step 6: Final answer
    x = 3,535.83

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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.