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Finding the Fourth Proportional to 10,304.91, 14,220.71 and 5,589.20

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Solution

The fourth proportional to 10,304.91, 14,220.71 and 5,589.20 is: 7,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.91 : 14,220.71 = 5,589.20 : x
  2. Step 2: Convert to fraction form
    10,304.91/14,220.71 = 5,589.20/x
  3. Step 3: Cross multiply
    10,304.91x = 14,220.71 × 5,589.20
  4. Step 4: Simplify right side
    10,304.91x = 79,482,293.28
  5. Step 5: Solve for x
    x = 79,482,293.28/10,304.91
  6. Step 6: Final answer
    x = 7,713.05

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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.