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Finding the Fourth Proportional to 10,366.31, 14,313.95 and 8,452.44

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Solution

The fourth proportional to 10,366.31, 14,313.95 and 8,452.44 is: 11,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.31 : 14,313.95 = 8,452.44 : x
  2. Step 2: Convert to fraction form
    10,366.31/14,313.95 = 8,452.44/x
  3. Step 3: Cross multiply
    10,366.31x = 14,313.95 × 8,452.44
  4. Step 4: Simplify right side
    10,366.31x = 120,987,761.28
  5. Step 5: Solve for x
    x = 120,987,761.28/10,366.31
  6. Step 6: Final answer
    x = 11,671.25

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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.