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Finding the Fourth Proportional to 10,387.13, 14,334.18 and 5,671.40

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Solution

The fourth proportional to 10,387.13, 14,334.18 and 5,671.40 is: 7,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.13 : 14,334.18 = 5,671.40 : x
  2. Step 2: Convert to fraction form
    10,387.13/14,334.18 = 5,671.40/x
  3. Step 3: Cross multiply
    10,387.13x = 14,334.18 × 5,671.40
  4. Step 4: Simplify right side
    10,387.13x = 81,294,796.78
  5. Step 5: Solve for x
    x = 81,294,796.78/10,387.13
  6. Step 6: Final answer
    x = 7,826.50

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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.