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Finding the Fourth Proportional to 12,715.04, 17,546.72 and 7,747.04

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Solution

The fourth proportional to 12,715.04, 17,546.72 and 7,747.04 is: 10,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.04 : 17,546.72 = 7,747.04 : x
  2. Step 2: Convert to fraction form
    12,715.04/17,546.72 = 7,747.04/x
  3. Step 3: Cross multiply
    12,715.04x = 17,546.72 × 7,747.04
  4. Step 4: Simplify right side
    12,715.04x = 135,935,141.71
  5. Step 5: Solve for x
    x = 135,935,141.71/12,715.04
  6. Step 6: Final answer
    x = 10,690.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.