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Finding the Fourth Proportional to 7,497.76, 10,349.92 and 4,516.16

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Solution

The fourth proportional to 7,497.76, 10,349.92 and 4,516.16 is: 6,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.76 : 10,349.92 = 4,516.16 : x
  2. Step 2: Convert to fraction form
    7,497.76/10,349.92 = 4,516.16/x
  3. Step 3: Cross multiply
    7,497.76x = 10,349.92 × 4,516.16
  4. Step 4: Simplify right side
    7,497.76x = 46,741,894.71
  5. Step 5: Solve for x
    x = 46,741,894.71/7,497.76
  6. Step 6: Final answer
    x = 6,234.11

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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.