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Finding the Fourth Proportional to 8,565.86, 11,821.65 and 5,207.87

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Solution

The fourth proportional to 8,565.86, 11,821.65 and 5,207.87 is: 7,187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.86 : 11,821.65 = 5,207.87 : x
  2. Step 2: Convert to fraction form
    8,565.86/11,821.65 = 5,207.87/x
  3. Step 3: Cross multiply
    8,565.86x = 11,821.65 × 5,207.87
  4. Step 4: Simplify right side
    8,565.86x = 61,565,616.39
  5. Step 5: Solve for x
    x = 61,565,616.39/8,565.86
  6. Step 6: Final answer
    x = 7,187.32

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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.