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Finding the Fourth Proportional to 10,344.30, 14,275.08 and 5,868.24

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Solution

The fourth proportional to 10,344.30, 14,275.08 and 5,868.24 is: 8,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.30 : 14,275.08 = 5,868.24 : x
  2. Step 2: Convert to fraction form
    10,344.30/14,275.08 = 5,868.24/x
  3. Step 3: Cross multiply
    10,344.30x = 14,275.08 × 5,868.24
  4. Step 4: Simplify right side
    10,344.30x = 83,769,595.46
  5. Step 5: Solve for x
    x = 83,769,595.46/10,344.30
  6. Step 6: Final answer
    x = 8,098.14

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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.