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Finding the Fourth Proportional to 28,902.60, 43,354.80 and 7,842.57

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Solution

The fourth proportional to 28,902.60, 43,354.80 and 7,842.57 is: 11,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,902.60 : 43,354.80 = 7,842.57 : x
  2. Step 2: Convert to fraction form
    28,902.60/43,354.80 = 7,842.57/x
  3. Step 3: Cross multiply
    28,902.60x = 43,354.80 × 7,842.57
  4. Step 4: Simplify right side
    28,902.60x = 340,013,014.62
  5. Step 5: Solve for x
    x = 340,013,014.62/28,902.60
  6. Step 6: Final answer
    x = 11,764.10

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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.