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Finding the Fourth Proportional to 10,033.39, 13,841.48 and 6,497.74

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Solution

The fourth proportional to 10,033.39, 13,841.48 and 6,497.74 is: 8,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.39 : 13,841.48 = 6,497.74 : x
  2. Step 2: Convert to fraction form
    10,033.39/13,841.48 = 6,497.74/x
  3. Step 3: Cross multiply
    10,033.39x = 13,841.48 × 6,497.74
  4. Step 4: Simplify right side
    10,033.39x = 89,938,236.56
  5. Step 5: Solve for x
    x = 89,938,236.56/10,033.39
  6. Step 6: Final answer
    x = 8,963.90

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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.