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Finding the Fourth Proportional to 7,387.86, 11,073.78 and 3,642.24

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Solution

The fourth proportional to 7,387.86, 11,073.78 and 3,642.24 is: 5,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.86 : 11,073.78 = 3,642.24 : x
  2. Step 2: Convert to fraction form
    7,387.86/11,073.78 = 3,642.24/x
  3. Step 3: Cross multiply
    7,387.86x = 11,073.78 × 3,642.24
  4. Step 4: Simplify right side
    7,387.86x = 40,333,364.47
  5. Step 5: Solve for x
    x = 40,333,364.47/7,387.86
  6. Step 6: Final answer
    x = 5,459.41

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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.