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Finding the Fourth Proportional to 8,542.72, 11,782.32 and 5,397.76

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Solution

The fourth proportional to 8,542.72, 11,782.32 and 5,397.76 is: 7,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.72 : 11,782.32 = 5,397.76 : x
  2. Step 2: Convert to fraction form
    8,542.72/11,782.32 = 5,397.76/x
  3. Step 3: Cross multiply
    8,542.72x = 11,782.32 × 5,397.76
  4. Step 4: Simplify right side
    8,542.72x = 63,598,135.60
  5. Step 5: Solve for x
    x = 63,598,135.60/8,542.72
  6. Step 6: Final answer
    x = 7,444.72

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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.