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Finding the Fourth Proportional to 10,700.38, 14,766.57 and 5,984.66

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Solution

The fourth proportional to 10,700.38, 14,766.57 and 5,984.66 is: 8,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.38 : 14,766.57 = 5,984.66 : x
  2. Step 2: Convert to fraction form
    10,700.38/14,766.57 = 5,984.66/x
  3. Step 3: Cross multiply
    10,700.38x = 14,766.57 × 5,984.66
  4. Step 4: Simplify right side
    10,700.38x = 88,372,848.94
  5. Step 5: Solve for x
    x = 88,372,848.94/10,700.38
  6. Step 6: Final answer
    x = 8,258.86

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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.