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Finding the Fourth Proportional to 7,484.64, 11,239.92 and 5,177.76

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Solution

The fourth proportional to 7,484.64, 11,239.92 and 5,177.76 is: 7,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.64 : 11,239.92 = 5,177.76 : x
  2. Step 2: Convert to fraction form
    7,484.64/11,239.92 = 5,177.76/x
  3. Step 3: Cross multiply
    7,484.64x = 11,239.92 × 5,177.76
  4. Step 4: Simplify right side
    7,484.64x = 58,197,608.18
  5. Step 5: Solve for x
    x = 58,197,608.18/7,484.64
  6. Step 6: Final answer
    x = 7,775.61

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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.