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Finding the Fourth Proportional to 7,687.32, 10,608.38 and 4,330.14

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Solution

The fourth proportional to 7,687.32, 10,608.38 and 4,330.14 is: 5,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.32 : 10,608.38 = 4,330.14 : x
  2. Step 2: Convert to fraction form
    7,687.32/10,608.38 = 4,330.14/x
  3. Step 3: Cross multiply
    7,687.32x = 10,608.38 × 4,330.14
  4. Step 4: Simplify right side
    7,687.32x = 45,935,770.57
  5. Step 5: Solve for x
    x = 45,935,770.57/7,687.32
  6. Step 6: Final answer
    x = 5,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.