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Finding the Fourth Proportional to 10,115.87, 13,959.93 and 5,867.75

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Solution

The fourth proportional to 10,115.87, 13,959.93 and 5,867.75 is: 8,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.87 : 13,959.93 = 5,867.75 : x
  2. Step 2: Convert to fraction form
    10,115.87/13,959.93 = 5,867.75/x
  3. Step 3: Cross multiply
    10,115.87x = 13,959.93 × 5,867.75
  4. Step 4: Simplify right side
    10,115.87x = 81,913,379.26
  5. Step 5: Solve for x
    x = 81,913,379.26/10,115.87
  6. Step 6: Final answer
    x = 8,097.51

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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.