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Finding the Fourth Proportional to 10,104.35, 13,941.86 and 5,853.87

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Solution

The fourth proportional to 10,104.35, 13,941.86 and 5,853.87 is: 8,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.35 : 13,941.86 = 5,853.87 : x
  2. Step 2: Convert to fraction form
    10,104.35/13,941.86 = 5,853.87/x
  3. Step 3: Cross multiply
    10,104.35x = 13,941.86 × 5,853.87
  4. Step 4: Simplify right side
    10,104.35x = 81,613,806.73
  5. Step 5: Solve for x
    x = 81,613,806.73/10,104.35
  6. Step 6: Final answer
    x = 8,077.10

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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.