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Finding the Fourth Proportional to 10,380.30, 15,546.15 and 7,901.70

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Solution

The fourth proportional to 10,380.30, 15,546.15 and 7,901.70 is: 11,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.30 : 15,546.15 = 7,901.70 : x
  2. Step 2: Convert to fraction form
    10,380.30/15,546.15 = 7,901.70/x
  3. Step 3: Cross multiply
    10,380.30x = 15,546.15 × 7,901.70
  4. Step 4: Simplify right side
    10,380.30x = 122,841,013.46
  5. Step 5: Solve for x
    x = 122,841,013.46/10,380.30
  6. Step 6: Final answer
    x = 11,834.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.