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Finding the Fourth Proportional to 8,242.48, 11,366.08 and 5,727.44

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Solution

The fourth proportional to 8,242.48, 11,366.08 and 5,727.44 is: 7,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.48 : 11,366.08 = 5,727.44 : x
  2. Step 2: Convert to fraction form
    8,242.48/11,366.08 = 5,727.44/x
  3. Step 3: Cross multiply
    8,242.48x = 11,366.08 × 5,727.44
  4. Step 4: Simplify right side
    8,242.48x = 65,098,541.24
  5. Step 5: Solve for x
    x = 65,098,541.24/8,242.48
  6. Step 6: Final answer
    x = 7,897.93

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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.