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Finding the Fourth Proportional to 10,609.40, 15,892.23 and 6,213.53

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Solution

The fourth proportional to 10,609.40, 15,892.23 and 6,213.53 is: 9,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.40 : 15,892.23 = 6,213.53 : x
  2. Step 2: Convert to fraction form
    10,609.40/15,892.23 = 6,213.53/x
  3. Step 3: Cross multiply
    10,609.40x = 15,892.23 × 6,213.53
  4. Step 4: Simplify right side
    10,609.40x = 98,746,910.90
  5. Step 5: Solve for x
    x = 98,746,910.90/10,609.40
  6. Step 6: Final answer
    x = 9,307.49

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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.