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Finding the Fourth Proportional to 8,641.36, 11,924.76 and 5,282.92

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Solution

The fourth proportional to 8,641.36, 11,924.76 and 5,282.92 is: 7,290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.36 : 11,924.76 = 5,282.92 : x
  2. Step 2: Convert to fraction form
    8,641.36/11,924.76 = 5,282.92/x
  3. Step 3: Cross multiply
    8,641.36x = 11,924.76 × 5,282.92
  4. Step 4: Simplify right side
    8,641.36x = 62,997,553.10
  5. Step 5: Solve for x
    x = 62,997,553.10/8,641.36
  6. Step 6: Final answer
    x = 7,290.24

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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.