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Finding the Fourth Proportional to 7,674.68, 10,591.26 and 4,318.14

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Solution

The fourth proportional to 7,674.68, 10,591.26 and 4,318.14 is: 5,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.68 : 10,591.26 = 4,318.14 : x
  2. Step 2: Convert to fraction form
    7,674.68/10,591.26 = 4,318.14/x
  3. Step 3: Cross multiply
    7,674.68x = 10,591.26 × 4,318.14
  4. Step 4: Simplify right side
    7,674.68x = 45,734,543.46
  5. Step 5: Solve for x
    x = 45,734,543.46/7,674.68
  6. Step 6: Final answer
    x = 5,959.15

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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.