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Finding the Fourth Proportional to 10,340.69, 14,264.90 and 6,757.74

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Solution

The fourth proportional to 10,340.69, 14,264.90 and 6,757.74 is: 9,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.69 : 14,264.90 = 6,757.74 : x
  2. Step 2: Convert to fraction form
    10,340.69/14,264.90 = 6,757.74/x
  3. Step 3: Cross multiply
    10,340.69x = 14,264.90 × 6,757.74
  4. Step 4: Simplify right side
    10,340.69x = 96,398,451.54
  5. Step 5: Solve for x
    x = 96,398,451.54/10,340.69
  6. Step 6: Final answer
    x = 9,322.25

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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.