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Finding the Fourth Proportional to 11,180.58, 15,429.06 and 6,464.76

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Solution

The fourth proportional to 11,180.58, 15,429.06 and 6,464.76 is: 8,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.58 : 15,429.06 = 6,464.76 : x
  2. Step 2: Convert to fraction form
    11,180.58/15,429.06 = 6,464.76/x
  3. Step 3: Cross multiply
    11,180.58x = 15,429.06 × 6,464.76
  4. Step 4: Simplify right side
    11,180.58x = 99,745,169.93
  5. Step 5: Solve for x
    x = 99,745,169.93/11,180.58
  6. Step 6: Final answer
    x = 8,921.29

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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.