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Finding the Fourth Proportional to 10,118.75, 13,963.19 and 5,869.94

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Solution

The fourth proportional to 10,118.75, 13,963.19 and 5,869.94 is: 8,100.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.75 : 13,963.19 = 5,869.94 : x
  2. Step 2: Convert to fraction form
    10,118.75/13,963.19 = 5,869.94/x
  3. Step 3: Cross multiply
    10,118.75x = 13,963.19 × 5,869.94
  4. Step 4: Simplify right side
    10,118.75x = 81,962,988.34
  5. Step 5: Solve for x
    x = 81,962,988.34/10,118.75
  6. Step 6: Final answer
    x = 8,100.11

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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.