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Finding the Fourth Proportional to 7,129.18, 10,686.20 and 2,744.74

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Solution

The fourth proportional to 7,129.18, 10,686.20 and 2,744.74 is: 4,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.18 : 10,686.20 = 2,744.74 : x
  2. Step 2: Convert to fraction form
    7,129.18/10,686.20 = 2,744.74/x
  3. Step 3: Cross multiply
    7,129.18x = 10,686.20 × 2,744.74
  4. Step 4: Simplify right side
    7,129.18x = 29,330,840.59
  5. Step 5: Solve for x
    x = 29,330,840.59/7,129.18
  6. Step 6: Final answer
    x = 4,114.20

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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.