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Finding the Fourth Proportional to 10,304.17, 14,219.16 and 5,827.66

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Solution

The fourth proportional to 10,304.17, 14,219.16 and 5,827.66 is: 8,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.17 : 14,219.16 = 5,827.66 : x
  2. Step 2: Convert to fraction form
    10,304.17/14,219.16 = 5,827.66/x
  3. Step 3: Cross multiply
    10,304.17x = 14,219.16 × 5,827.66
  4. Step 4: Simplify right side
    10,304.17x = 82,864,429.97
  5. Step 5: Solve for x
    x = 82,864,429.97/10,304.17
  6. Step 6: Final answer
    x = 8,041.83

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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.