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Finding the Fourth Proportional to 10,387.36, 14,334.72 and 5,671.84

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Solution

The fourth proportional to 10,387.36, 14,334.72 and 5,671.84 is: 7,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.36 : 14,334.72 = 5,671.84 : x
  2. Step 2: Convert to fraction form
    10,387.36/14,334.72 = 5,671.84/x
  3. Step 3: Cross multiply
    10,387.36x = 14,334.72 × 5,671.84
  4. Step 4: Simplify right side
    10,387.36x = 81,304,238.28
  5. Step 5: Solve for x
    x = 81,304,238.28/10,387.36
  6. Step 6: Final answer
    x = 7,827.23

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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.