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Finding the Fourth Proportional to 8,456.88, 11,681.65 and 6,491.72

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Solution

The fourth proportional to 8,456.88, 11,681.65 and 6,491.72 is: 8,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.88 : 11,681.65 = 6,491.72 : x
  2. Step 2: Convert to fraction form
    8,456.88/11,681.65 = 6,491.72/x
  3. Step 3: Cross multiply
    8,456.88x = 11,681.65 × 6,491.72
  4. Step 4: Simplify right side
    8,456.88x = 75,834,000.94
  5. Step 5: Solve for x
    x = 75,834,000.94/8,456.88
  6. Step 6: Final answer
    x = 8,967.14

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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.