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Finding the Fourth Proportional to 10,635.78, 15,913.71 and 7,523.46

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Solution

The fourth proportional to 10,635.78, 15,913.71 and 7,523.46 is: 11,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.78 : 15,913.71 = 7,523.46 : x
  2. Step 2: Convert to fraction form
    10,635.78/15,913.71 = 7,523.46/x
  3. Step 3: Cross multiply
    10,635.78x = 15,913.71 × 7,523.46
  4. Step 4: Simplify right side
    10,635.78x = 119,726,160.64
  5. Step 5: Solve for x
    x = 119,726,160.64/10,635.78
  6. Step 6: Final answer
    x = 11,256.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.