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Finding the Fourth Proportional to 10,560.38, 14,574.94 and 6,371.06

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Solution

The fourth proportional to 10,560.38, 14,574.94 and 6,371.06 is: 8,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.38 : 14,574.94 = 6,371.06 : x
  2. Step 2: Convert to fraction form
    10,560.38/14,574.94 = 6,371.06/x
  3. Step 3: Cross multiply
    10,560.38x = 14,574.94 × 6,371.06
  4. Step 4: Simplify right side
    10,560.38x = 92,857,728.43
  5. Step 5: Solve for x
    x = 92,857,728.43/10,560.38
  6. Step 6: Final answer
    x = 8,793.03

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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.