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Finding the Fourth Proportional to 6,863.86, 10,207.49 and 6,645.16

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Solution

The fourth proportional to 6,863.86, 10,207.49 and 6,645.16 is: 9,882.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.86 : 10,207.49 = 6,645.16 : x
  2. Step 2: Convert to fraction form
    6,863.86/10,207.49 = 6,645.16/x
  3. Step 3: Cross multiply
    6,863.86x = 10,207.49 × 6,645.16
  4. Step 4: Simplify right side
    6,863.86x = 67,830,404.25
  5. Step 5: Solve for x
    x = 67,830,404.25/6,863.86
  6. Step 6: Final answer
    x = 9,882.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.