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Finding the Fourth Proportional to 7,139.90, 10,713.66 and 2,982.74

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Solution

The fourth proportional to 7,139.90, 10,713.66 and 2,982.74 is: 4,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.90 : 10,713.66 = 2,982.74 : x
  2. Step 2: Convert to fraction form
    7,139.90/10,713.66 = 2,982.74/x
  3. Step 3: Cross multiply
    7,139.90x = 10,713.66 × 2,982.74
  4. Step 4: Simplify right side
    7,139.90x = 31,956,062.23
  5. Step 5: Solve for x
    x = 31,956,062.23/7,139.90
  6. Step 6: Final answer
    x = 4,475.70

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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.