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Finding the Fourth Proportional to 10,768.25, 14,859.92 and 5,988.20

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Solution

The fourth proportional to 10,768.25, 14,859.92 and 5,988.20 is: 8,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.25 : 14,859.92 = 5,988.20 : x
  2. Step 2: Convert to fraction form
    10,768.25/14,859.92 = 5,988.20/x
  3. Step 3: Cross multiply
    10,768.25x = 14,859.92 × 5,988.20
  4. Step 4: Simplify right side
    10,768.25x = 88,984,143.00
  5. Step 5: Solve for x
    x = 88,984,143.00/10,768.25
  6. Step 6: Final answer
    x = 8,263.57

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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.