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Finding the Fourth Proportional to 10,305.14, 14,218.72 and 5,827.92

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Solution

The fourth proportional to 10,305.14, 14,218.72 and 5,827.92 is: 8,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.14 : 14,218.72 = 5,827.92 : x
  2. Step 2: Convert to fraction form
    10,305.14/14,218.72 = 5,827.92/x
  3. Step 3: Cross multiply
    10,305.14x = 14,218.72 × 5,827.92
  4. Step 4: Simplify right side
    10,305.14x = 82,865,494.77
  5. Step 5: Solve for x
    x = 82,865,494.77/10,305.14
  6. Step 6: Final answer
    x = 8,041.18

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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.