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Finding the Fourth Proportional to 10,017.81, 13,829.02 and 5,986.07

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Solution

The fourth proportional to 10,017.81, 13,829.02 and 5,986.07 is: 8,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.81 : 13,829.02 = 5,986.07 : x
  2. Step 2: Convert to fraction form
    10,017.81/13,829.02 = 5,986.07/x
  3. Step 3: Cross multiply
    10,017.81x = 13,829.02 × 5,986.07
  4. Step 4: Simplify right side
    10,017.81x = 82,781,449.50
  5. Step 5: Solve for x
    x = 82,781,449.50/10,017.81
  6. Step 6: Final answer
    x = 8,263.43

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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.