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Finding the Fourth Proportional to 10,147.68, 15,236.90 and 5,476.90

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Solution

The fourth proportional to 10,147.68, 15,236.90 and 5,476.90 is: 8,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.68 : 15,236.90 = 5,476.90 : x
  2. Step 2: Convert to fraction form
    10,147.68/15,236.90 = 5,476.90/x
  3. Step 3: Cross multiply
    10,147.68x = 15,236.90 × 5,476.90
  4. Step 4: Simplify right side
    10,147.68x = 83,450,921.40
  5. Step 5: Solve for x
    x = 83,450,921.40/10,147.68
  6. Step 6: Final answer
    x = 8,223.65

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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.