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Finding the Fourth Proportional to 8,742.50, 12,061.23 and 5,759.90

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Solution

The fourth proportional to 8,742.50, 12,061.23 and 5,759.90 is: 7,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.50 : 12,061.23 = 5,759.90 : x
  2. Step 2: Convert to fraction form
    8,742.50/12,061.23 = 5,759.90/x
  3. Step 3: Cross multiply
    8,742.50x = 12,061.23 × 5,759.90
  4. Step 4: Simplify right side
    8,742.50x = 69,471,478.68
  5. Step 5: Solve for x
    x = 69,471,478.68/8,742.50
  6. Step 6: Final answer
    x = 7,946.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.