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Finding the Fourth Proportional to 10,466.38, 14,429.64 and 8,967.88

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Solution

The fourth proportional to 10,466.38, 14,429.64 and 8,967.88 is: 12,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.38 : 14,429.64 = 8,967.88 : x
  2. Step 2: Convert to fraction form
    10,466.38/14,429.64 = 8,967.88/x
  3. Step 3: Cross multiply
    10,466.38x = 14,429.64 × 8,967.88
  4. Step 4: Simplify right side
    10,466.38x = 129,403,279.96
  5. Step 5: Solve for x
    x = 129,403,279.96/10,466.38
  6. Step 6: Final answer
    x = 12,363.71

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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.