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Finding the Fourth Proportional to 10,642.33, 14,689.04 and 6,168.77

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Solution

The fourth proportional to 10,642.33, 14,689.04 and 6,168.77 is: 8,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.33 : 14,689.04 = 6,168.77 : x
  2. Step 2: Convert to fraction form
    10,642.33/14,689.04 = 6,168.77/x
  3. Step 3: Cross multiply
    10,642.33x = 14,689.04 × 6,168.77
  4. Step 4: Simplify right side
    10,642.33x = 90,613,309.28
  5. Step 5: Solve for x
    x = 90,613,309.28/10,642.33
  6. Step 6: Final answer
    x = 8,514.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.