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Finding the Fourth Proportional to 10,517.93, 14,515.08 and 6,042.58

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Solution

The fourth proportional to 10,517.93, 14,515.08 and 6,042.58 is: 8,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.93 : 14,515.08 = 6,042.58 : x
  2. Step 2: Convert to fraction form
    10,517.93/14,515.08 = 6,042.58/x
  3. Step 3: Cross multiply
    10,517.93x = 14,515.08 × 6,042.58
  4. Step 4: Simplify right side
    10,517.93x = 87,708,588.80
  5. Step 5: Solve for x
    x = 87,708,588.80/10,517.93
  6. Step 6: Final answer
    x = 8,338.96

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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.