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Finding the Fourth Proportional to 10,387.24, 14,334.78 and 5,671.84

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Solution

The fourth proportional to 10,387.24, 14,334.78 and 5,671.84 is: 7,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.24 : 14,334.78 = 5,671.84 : x
  2. Step 2: Convert to fraction form
    10,387.24/14,334.78 = 5,671.84/x
  3. Step 3: Cross multiply
    10,387.24x = 14,334.78 × 5,671.84
  4. Step 4: Simplify right side
    10,387.24x = 81,304,578.60
  5. Step 5: Solve for x
    x = 81,304,578.60/10,387.24
  6. Step 6: Final answer
    x = 7,827.35

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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.