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Finding the Fourth Proportional to 10,535.97, 15,803.85 and 4,294.52

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Solution

The fourth proportional to 10,535.97, 15,803.85 and 4,294.52 is: 6,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.97 : 15,803.85 = 4,294.52 : x
  2. Step 2: Convert to fraction form
    10,535.97/15,803.85 = 4,294.52/x
  3. Step 3: Cross multiply
    10,535.97x = 15,803.85 × 4,294.52
  4. Step 4: Simplify right side
    10,535.97x = 67,869,870.88
  5. Step 5: Solve for x
    x = 67,869,870.88/10,535.97
  6. Step 6: Final answer
    x = 6,441.73

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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.