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Finding the Fourth Proportional to 11,495.86, 15,871.55 and 7,523.69

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Solution

The fourth proportional to 11,495.86, 15,871.55 and 7,523.69 is: 10,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.86 : 15,871.55 = 7,523.69 : x
  2. Step 2: Convert to fraction form
    11,495.86/15,871.55 = 7,523.69/x
  3. Step 3: Cross multiply
    11,495.86x = 15,871.55 × 7,523.69
  4. Step 4: Simplify right side
    11,495.86x = 119,412,505.04
  5. Step 5: Solve for x
    x = 119,412,505.04/11,495.86
  6. Step 6: Final answer
    x = 10,387.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.