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Finding the Fourth Proportional to 7,867.86, 10,863.15 and 5,513.22

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Solution

The fourth proportional to 7,867.86, 10,863.15 and 5,513.22 is: 7,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.86 : 10,863.15 = 5,513.22 : x
  2. Step 2: Convert to fraction form
    7,867.86/10,863.15 = 5,513.22/x
  3. Step 3: Cross multiply
    7,867.86x = 10,863.15 × 5,513.22
  4. Step 4: Simplify right side
    7,867.86x = 59,890,935.84
  5. Step 5: Solve for x
    x = 59,890,935.84/7,867.86
  6. Step 6: Final answer
    x = 7,612.10

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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.