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Finding the Fourth Proportional to 10,290.49, 14,200.88 and 6,040.71

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Solution

The fourth proportional to 10,290.49, 14,200.88 and 6,040.71 is: 8,336.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.49 : 14,200.88 = 6,040.71 : x
  2. Step 2: Convert to fraction form
    10,290.49/14,200.88 = 6,040.71/x
  3. Step 3: Cross multiply
    10,290.49x = 14,200.88 × 6,040.71
  4. Step 4: Simplify right side
    10,290.49x = 85,783,367.62
  5. Step 5: Solve for x
    x = 85,783,367.62/10,290.49
  6. Step 6: Final answer
    x = 8,336.18

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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.