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Finding the Fourth Proportional to 10,371.40, 14,311.97 and 5,894.53

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Solution

The fourth proportional to 10,371.40, 14,311.97 and 5,894.53 is: 8,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.40 : 14,311.97 = 5,894.53 : x
  2. Step 2: Convert to fraction form
    10,371.40/14,311.97 = 5,894.53/x
  3. Step 3: Cross multiply
    10,371.40x = 14,311.97 × 5,894.53
  4. Step 4: Simplify right side
    10,371.40x = 84,362,387.04
  5. Step 5: Solve for x
    x = 84,362,387.04/10,371.40
  6. Step 6: Final answer
    x = 8,134.13

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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.