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Finding the Fourth Proportional to 11,465.28, 15,821.89 and 6,429.49

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Solution

The fourth proportional to 11,465.28, 15,821.89 and 6,429.49 is: 8,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.28 : 15,821.89 = 6,429.49 : x
  2. Step 2: Convert to fraction form
    11,465.28/15,821.89 = 6,429.49/x
  3. Step 3: Cross multiply
    11,465.28x = 15,821.89 × 6,429.49
  4. Step 4: Simplify right side
    11,465.28x = 101,726,627.91
  5. Step 5: Solve for x
    x = 101,726,627.91/11,465.28
  6. Step 6: Final answer
    x = 8,872.58

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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.