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Finding the Fourth Proportional to 7,689.84, 10,600.92 and 5,478

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Solution

The fourth proportional to 7,689.84, 10,600.92 and 5,478 is: 7,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.84 : 10,600.92 = 5,478 : x
  2. Step 2: Convert to fraction form
    7,689.84/10,600.92 = 5,478/x
  3. Step 3: Cross multiply
    7,689.84x = 10,600.92 × 5,478
  4. Step 4: Simplify right side
    7,689.84x = 58,071,839.76
  5. Step 5: Solve for x
    x = 58,071,839.76/7,689.84
  6. Step 6: Final answer
    x = 7,551.76

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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.