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Finding the Fourth Proportional to 7,614, 10,508.76 and 4,302

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Solution

The fourth proportional to 7,614, 10,508.76 and 4,302 is: 5,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614 : 10,508.76 = 4,302 : x
  2. Step 2: Convert to fraction form
    7,614/10,508.76 = 4,302/x
  3. Step 3: Cross multiply
    7,614x = 10,508.76 × 4,302
  4. Step 4: Simplify right side
    7,614x = 45,208,685.52
  5. Step 5: Solve for x
    x = 45,208,685.52/7,614
  6. Step 6: Final answer
    x = 5,937.57

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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.