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Finding the Fourth Proportional to 10,291.75, 14,202.32 and 6,042.74

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Solution

The fourth proportional to 10,291.75, 14,202.32 and 6,042.74 is: 8,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.75 : 14,202.32 = 6,042.74 : x
  2. Step 2: Convert to fraction form
    10,291.75/14,202.32 = 6,042.74/x
  3. Step 3: Cross multiply
    10,291.75x = 14,202.32 × 6,042.74
  4. Step 4: Simplify right side
    10,291.75x = 85,820,927.16
  5. Step 5: Solve for x
    x = 85,820,927.16/10,291.75
  6. Step 6: Final answer
    x = 8,338.81

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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.