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Finding the Fourth Proportional to 7,158.70, 10,711.86 and 5,080.78

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Solution

The fourth proportional to 7,158.70, 10,711.86 and 5,080.78 is: 7,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.70 : 10,711.86 = 5,080.78 : x
  2. Step 2: Convert to fraction form
    7,158.70/10,711.86 = 5,080.78/x
  3. Step 3: Cross multiply
    7,158.70x = 10,711.86 × 5,080.78
  4. Step 4: Simplify right side
    7,158.70x = 54,424,604.05
  5. Step 5: Solve for x
    x = 54,424,604.05/7,158.70
  6. Step 6: Final answer
    x = 7,602.58

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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.