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Finding the Fourth Proportional to 10,300.77, 14,209.83 and 6,517.56

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Solution

The fourth proportional to 10,300.77, 14,209.83 and 6,517.56 is: 8,990.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.77 : 14,209.83 = 6,517.56 : x
  2. Step 2: Convert to fraction form
    10,300.77/14,209.83 = 6,517.56/x
  3. Step 3: Cross multiply
    10,300.77x = 14,209.83 × 6,517.56
  4. Step 4: Simplify right side
    10,300.77x = 92,613,419.61
  5. Step 5: Solve for x
    x = 92,613,419.61/10,300.77
  6. Step 6: Final answer
    x = 8,990.92

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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.