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Finding the Fourth Proportional to 10,006.48, 14,938.28 and 8,694.64

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Solution

The fourth proportional to 10,006.48, 14,938.28 and 8,694.64 is: 12,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.48 : 14,938.28 = 8,694.64 : x
  2. Step 2: Convert to fraction form
    10,006.48/14,938.28 = 8,694.64/x
  3. Step 3: Cross multiply
    10,006.48x = 14,938.28 × 8,694.64
  4. Step 4: Simplify right side
    10,006.48x = 129,882,966.82
  5. Step 5: Solve for x
    x = 129,882,966.82/10,006.48
  6. Step 6: Final answer
    x = 12,979.89

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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.