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Finding the Fourth Proportional to 10,689.86, 14,752.08 and 5,974.22

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Solution

The fourth proportional to 10,689.86, 14,752.08 and 5,974.22 is: 8,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.86 : 14,752.08 = 5,974.22 : x
  2. Step 2: Convert to fraction form
    10,689.86/14,752.08 = 5,974.22/x
  3. Step 3: Cross multiply
    10,689.86x = 14,752.08 × 5,974.22
  4. Step 4: Simplify right side
    10,689.86x = 88,132,171.38
  5. Step 5: Solve for x
    x = 88,132,171.38/10,689.86
  6. Step 6: Final answer
    x = 8,244.46

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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.