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Finding the Fourth Proportional to 8,668.32, 11,962.29 and 4,689.42

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Solution

The fourth proportional to 8,668.32, 11,962.29 and 4,689.42 is: 6,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.32 : 11,962.29 = 4,689.42 : x
  2. Step 2: Convert to fraction form
    8,668.32/11,962.29 = 4,689.42/x
  3. Step 3: Cross multiply
    8,668.32x = 11,962.29 × 4,689.42
  4. Step 4: Simplify right side
    8,668.32x = 56,096,201.97
  5. Step 5: Solve for x
    x = 56,096,201.97/8,668.32
  6. Step 6: Final answer
    x = 6,471.40

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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.