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Finding the Fourth Proportional to 10,135.67, 15,220.35 and 6,264.68

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Solution

The fourth proportional to 10,135.67, 15,220.35 and 6,264.68 is: 9,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.67 : 15,220.35 = 6,264.68 : x
  2. Step 2: Convert to fraction form
    10,135.67/15,220.35 = 6,264.68/x
  3. Step 3: Cross multiply
    10,135.67x = 15,220.35 × 6,264.68
  4. Step 4: Simplify right side
    10,135.67x = 95,350,546.14
  5. Step 5: Solve for x
    x = 95,350,546.14/10,135.67
  6. Step 6: Final answer
    x = 9,407.43

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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.