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Finding the Fourth Proportional to 10,387.32, 14,334.62 and 5,671.91

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Solution

The fourth proportional to 10,387.32, 14,334.62 and 5,671.91 is: 7,827.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.32 : 14,334.62 = 5,671.91 : x
  2. Step 2: Convert to fraction form
    10,387.32/14,334.62 = 5,671.91/x
  3. Step 3: Cross multiply
    10,387.32x = 14,334.62 × 5,671.91
  4. Step 4: Simplify right side
    10,387.32x = 81,304,574.49
  5. Step 5: Solve for x
    x = 81,304,574.49/10,387.32
  6. Step 6: Final answer
    x = 7,827.29

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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.