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Finding the Fourth Proportional to 12,507.60, 17,257.11 and 7,469.61

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Solution

The fourth proportional to 12,507.60, 17,257.11 and 7,469.61 is: 10,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.60 : 17,257.11 = 7,469.61 : x
  2. Step 2: Convert to fraction form
    12,507.60/17,257.11 = 7,469.61/x
  3. Step 3: Cross multiply
    12,507.60x = 17,257.11 × 7,469.61
  4. Step 4: Simplify right side
    12,507.60x = 128,903,881.43
  5. Step 5: Solve for x
    x = 128,903,881.43/12,507.60
  6. Step 6: Final answer
    x = 10,306.04

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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.