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Finding the Fourth Proportional to 11,340.34, 15,649.99 and 6,864.90

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Solution

The fourth proportional to 11,340.34, 15,649.99 and 6,864.90 is: 9,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.34 : 15,649.99 = 6,864.90 : x
  2. Step 2: Convert to fraction form
    11,340.34/15,649.99 = 6,864.90/x
  3. Step 3: Cross multiply
    11,340.34x = 15,649.99 × 6,864.90
  4. Step 4: Simplify right side
    11,340.34x = 107,435,616.35
  5. Step 5: Solve for x
    x = 107,435,616.35/11,340.34
  6. Step 6: Final answer
    x = 9,473.76

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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.