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Finding the Fourth Proportional to 8,488.97, 12,715.02 and 5,192.06

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Solution

The fourth proportional to 8,488.97, 12,715.02 and 5,192.06 is: 7,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.97 : 12,715.02 = 5,192.06 : x
  2. Step 2: Convert to fraction form
    8,488.97/12,715.02 = 5,192.06/x
  3. Step 3: Cross multiply
    8,488.97x = 12,715.02 × 5,192.06
  4. Step 4: Simplify right side
    8,488.97x = 66,017,178.53
  5. Step 5: Solve for x
    x = 66,017,178.53/8,488.97
  6. Step 6: Final answer
    x = 7,776.82

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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.