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Finding the Fourth Proportional to 8,642.49, 12,952.80 and 5,521.29

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Solution

The fourth proportional to 8,642.49, 12,952.80 and 5,521.29 is: 8,274.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.49 : 12,952.80 = 5,521.29 : x
  2. Step 2: Convert to fraction form
    8,642.49/12,952.80 = 5,521.29/x
  3. Step 3: Cross multiply
    8,642.49x = 12,952.80 × 5,521.29
  4. Step 4: Simplify right side
    8,642.49x = 71,516,165.11
  5. Step 5: Solve for x
    x = 71,516,165.11/8,642.49
  6. Step 6: Final answer
    x = 8,274.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.