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Finding the Fourth Proportional to 8,476.65, 12,702.45 and 8,002.76

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Solution

The fourth proportional to 8,476.65, 12,702.45 and 8,002.76 is: 11,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.65 : 12,702.45 = 8,002.76 : x
  2. Step 2: Convert to fraction form
    8,476.65/12,702.45 = 8,002.76/x
  3. Step 3: Cross multiply
    8,476.65x = 12,702.45 × 8,002.76
  4. Step 4: Simplify right side
    8,476.65x = 101,654,690.52
  5. Step 5: Solve for x
    x = 101,654,690.52/8,476.65
  6. Step 6: Final answer
    x = 11,992.32

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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.