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Finding the Fourth Proportional to 7,685.84, 10,608.18 and 5,031.70

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Solution

The fourth proportional to 7,685.84, 10,608.18 and 5,031.70 is: 6,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.84 : 10,608.18 = 5,031.70 : x
  2. Step 2: Convert to fraction form
    7,685.84/10,608.18 = 5,031.70/x
  3. Step 3: Cross multiply
    7,685.84x = 10,608.18 × 5,031.70
  4. Step 4: Simplify right side
    7,685.84x = 53,377,221.89
  5. Step 5: Solve for x
    x = 53,377,221.89/7,685.84
  6. Step 6: Final answer
    x = 6,944.88

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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.