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Finding the Fourth Proportional to 10,503.38, 14,494.96 and 5,787.96

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Solution

The fourth proportional to 10,503.38, 14,494.96 and 5,787.96 is: 7,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.38 : 14,494.96 = 5,787.96 : x
  2. Step 2: Convert to fraction form
    10,503.38/14,494.96 = 5,787.96/x
  3. Step 3: Cross multiply
    10,503.38x = 14,494.96 × 5,787.96
  4. Step 4: Simplify right side
    10,503.38x = 83,896,255.92
  5. Step 5: Solve for x
    x = 83,896,255.92/10,503.38
  6. Step 6: Final answer
    x = 7,987.55

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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.