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Finding the Fourth Proportional to 10,340.43, 14,273.04 and 5,867.15

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Solution

The fourth proportional to 10,340.43, 14,273.04 and 5,867.15 is: 8,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.43 : 14,273.04 = 5,867.15 : x
  2. Step 2: Convert to fraction form
    10,340.43/14,273.04 = 5,867.15/x
  3. Step 3: Cross multiply
    10,340.43x = 14,273.04 × 5,867.15
  4. Step 4: Simplify right side
    10,340.43x = 83,742,066.64
  5. Step 5: Solve for x
    x = 83,742,066.64/10,340.43
  6. Step 6: Final answer
    x = 8,098.51

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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.