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Finding the Fourth Proportional to 6,907.52, 10,366.68 and 2,527.76

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Solution

The fourth proportional to 6,907.52, 10,366.68 and 2,527.76 is: 3,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.52 : 10,366.68 = 2,527.76 : x
  2. Step 2: Convert to fraction form
    6,907.52/10,366.68 = 2,527.76/x
  3. Step 3: Cross multiply
    6,907.52x = 10,366.68 × 2,527.76
  4. Step 4: Simplify right side
    6,907.52x = 26,204,479.04
  5. Step 5: Solve for x
    x = 26,204,479.04/6,907.52
  6. Step 6: Final answer
    x = 3,793.62

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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.