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Finding the Fourth Proportional to 8,472.75, 11,689.68 and 5,490.87

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Solution

The fourth proportional to 8,472.75, 11,689.68 and 5,490.87 is: 7,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.75 : 11,689.68 = 5,490.87 : x
  2. Step 2: Convert to fraction form
    8,472.75/11,689.68 = 5,490.87/x
  3. Step 3: Cross multiply
    8,472.75x = 11,689.68 × 5,490.87
  4. Step 4: Simplify right side
    8,472.75x = 64,186,513.22
  5. Step 5: Solve for x
    x = 64,186,513.22/8,472.75
  6. Step 6: Final answer
    x = 7,575.64

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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.