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Finding the Fourth Proportional to 7,549.76, 11,318.88 and 2,930.24

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Solution

The fourth proportional to 7,549.76, 11,318.88 and 2,930.24 is: 4,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.76 : 11,318.88 = 2,930.24 : x
  2. Step 2: Convert to fraction form
    7,549.76/11,318.88 = 2,930.24/x
  3. Step 3: Cross multiply
    7,549.76x = 11,318.88 × 2,930.24
  4. Step 4: Simplify right side
    7,549.76x = 33,167,034.93
  5. Step 5: Solve for x
    x = 33,167,034.93/7,549.76
  6. Step 6: Final answer
    x = 4,393.12

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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.