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Finding the Fourth Proportional to 10,160.69, 15,221.31 and 7,487.42

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Solution

The fourth proportional to 10,160.69, 15,221.31 and 7,487.42 is: 11,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.69 : 15,221.31 = 7,487.42 : x
  2. Step 2: Convert to fraction form
    10,160.69/15,221.31 = 7,487.42/x
  3. Step 3: Cross multiply
    10,160.69x = 15,221.31 × 7,487.42
  4. Step 4: Simplify right side
    10,160.69x = 113,968,360.25
  5. Step 5: Solve for x
    x = 113,968,360.25/10,160.69
  6. Step 6: Final answer
    x = 11,216.60

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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.