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Finding the Fourth Proportional to 10,243.74, 14,132.07 and 6,263.58

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Solution

The fourth proportional to 10,243.74, 14,132.07 and 6,263.58 is: 8,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.74 : 14,132.07 = 6,263.58 : x
  2. Step 2: Convert to fraction form
    10,243.74/14,132.07 = 6,263.58/x
  3. Step 3: Cross multiply
    10,243.74x = 14,132.07 × 6,263.58
  4. Step 4: Simplify right side
    10,243.74x = 88,517,351.01
  5. Step 5: Solve for x
    x = 88,517,351.01/10,243.74
  6. Step 6: Final answer
    x = 8,641.12

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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.