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Finding the Fourth Proportional to 7,538.86, 10,402.28 and 4,552.69

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Solution

The fourth proportional to 7,538.86, 10,402.28 and 4,552.69 is: 6,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.86 : 10,402.28 = 4,552.69 : x
  2. Step 2: Convert to fraction form
    7,538.86/10,402.28 = 4,552.69/x
  3. Step 3: Cross multiply
    7,538.86x = 10,402.28 × 4,552.69
  4. Step 4: Simplify right side
    7,538.86x = 47,358,356.13
  5. Step 5: Solve for x
    x = 47,358,356.13/7,538.86
  6. Step 6: Final answer
    x = 6,281.90

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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.