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Finding the Fourth Proportional to 10,505.85, 15,759.93 and 4,264.96

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Solution

The fourth proportional to 10,505.85, 15,759.93 and 4,264.96 is: 6,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.85 : 15,759.93 = 4,264.96 : x
  2. Step 2: Convert to fraction form
    10,505.85/15,759.93 = 4,264.96/x
  3. Step 3: Cross multiply
    10,505.85x = 15,759.93 × 4,264.96
  4. Step 4: Simplify right side
    10,505.85x = 67,215,471.05
  5. Step 5: Solve for x
    x = 67,215,471.05/10,505.85
  6. Step 6: Final answer
    x = 6,397.91

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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.