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Finding the Fourth Proportional to 10,404.90, 15,608.70 and 5,142.60

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Solution

The fourth proportional to 10,404.90, 15,608.70 and 5,142.60 is: 7,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.90 : 15,608.70 = 5,142.60 : x
  2. Step 2: Convert to fraction form
    10,404.90/15,608.70 = 5,142.60/x
  3. Step 3: Cross multiply
    10,404.90x = 15,608.70 × 5,142.60
  4. Step 4: Simplify right side
    10,404.90x = 80,269,300.62
  5. Step 5: Solve for x
    x = 80,269,300.62/10,404.90
  6. Step 6: Final answer
    x = 7,714.57

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