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Finding the Fourth Proportional to 10,725.38, 14,801.62 and 6,011.18

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Solution

The fourth proportional to 10,725.38, 14,801.62 and 6,011.18 is: 8,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.38 : 14,801.62 = 6,011.18 : x
  2. Step 2: Convert to fraction form
    10,725.38/14,801.62 = 6,011.18/x
  3. Step 3: Cross multiply
    10,725.38x = 14,801.62 × 6,011.18
  4. Step 4: Simplify right side
    10,725.38x = 88,975,202.11
  5. Step 5: Solve for x
    x = 88,975,202.11/10,725.38
  6. Step 6: Final answer
    x = 8,295.76

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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.