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Finding the Fourth Proportional to 10,005.98, 14,937.54 and 8,694.14

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Solution

The fourth proportional to 10,005.98, 14,937.54 and 8,694.14 is: 12,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.98 : 14,937.54 = 8,694.14 : x
  2. Step 2: Convert to fraction form
    10,005.98/14,937.54 = 8,694.14/x
  3. Step 3: Cross multiply
    10,005.98x = 14,937.54 × 8,694.14
  4. Step 4: Simplify right side
    10,005.98x = 129,869,020.54
  5. Step 5: Solve for x
    x = 129,869,020.54/10,005.98
  6. Step 6: Final answer
    x = 12,979.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.