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Finding the Fourth Proportional to 11,464.26, 15,820.86 and 6,429.60

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Solution

The fourth proportional to 11,464.26, 15,820.86 and 6,429.60 is: 8,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.26 : 15,820.86 = 6,429.60 : x
  2. Step 2: Convert to fraction form
    11,464.26/15,820.86 = 6,429.60/x
  3. Step 3: Cross multiply
    11,464.26x = 15,820.86 × 6,429.60
  4. Step 4: Simplify right side
    11,464.26x = 101,721,801.46
  5. Step 5: Solve for x
    x = 101,721,801.46/11,464.26
  6. Step 6: Final answer
    x = 8,872.95

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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.