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Finding the Fourth Proportional to 7,537.32, 11,304.18 and 3,154.86

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Solution

The fourth proportional to 7,537.32, 11,304.18 and 3,154.86 is: 4,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.32 : 11,304.18 = 3,154.86 : x
  2. Step 2: Convert to fraction form
    7,537.32/11,304.18 = 3,154.86/x
  3. Step 3: Cross multiply
    7,537.32x = 11,304.18 × 3,154.86
  4. Step 4: Simplify right side
    7,537.32x = 35,663,105.31
  5. Step 5: Solve for x
    x = 35,663,105.31/7,537.32
  6. Step 6: Final answer
    x = 4,731.54

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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.