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Finding the Fourth Proportional to 8,502.18, 12,754.25 and 4,116.47

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Solution

The fourth proportional to 8,502.18, 12,754.25 and 4,116.47 is: 6,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.18 : 12,754.25 = 4,116.47 : x
  2. Step 2: Convert to fraction form
    8,502.18/12,754.25 = 4,116.47/x
  3. Step 3: Cross multiply
    8,502.18x = 12,754.25 × 4,116.47
  4. Step 4: Simplify right side
    8,502.18x = 52,502,403.14
  5. Step 5: Solve for x
    x = 52,502,403.14/8,502.18
  6. Step 6: Final answer
    x = 6,175.17

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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.