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Finding the Fourth Proportional to 7,548.64, 11,320.96 and 5,350.88

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Solution

The fourth proportional to 7,548.64, 11,320.96 and 5,350.88 is: 8,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.64 : 11,320.96 = 5,350.88 : x
  2. Step 2: Convert to fraction form
    7,548.64/11,320.96 = 5,350.88/x
  3. Step 3: Cross multiply
    7,548.64x = 11,320.96 × 5,350.88
  4. Step 4: Simplify right side
    7,548.64x = 60,577,098.44
  5. Step 5: Solve for x
    x = 60,577,098.44/7,548.64
  6. Step 6: Final answer
    x = 8,024.90

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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.