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Finding the Fourth Proportional to 10,601.72, 14,637.12 and 7,250.12

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Solution

The fourth proportional to 10,601.72, 14,637.12 and 7,250.12 is: 10,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.72 : 14,637.12 = 7,250.12 : x
  2. Step 2: Convert to fraction form
    10,601.72/14,637.12 = 7,250.12/x
  3. Step 3: Cross multiply
    10,601.72x = 14,637.12 × 7,250.12
  4. Step 4: Simplify right side
    10,601.72x = 106,120,876.45
  5. Step 5: Solve for x
    x = 106,120,876.45/10,601.72
  6. Step 6: Final answer
    x = 10,009.78

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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.