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Finding the Fourth Proportional to 11,434.78, 15,779.46 and 6,399.64

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Solution

The fourth proportional to 11,434.78, 15,779.46 and 6,399.64 is: 8,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.78 : 15,779.46 = 6,399.64 : x
  2. Step 2: Convert to fraction form
    11,434.78/15,779.46 = 6,399.64/x
  3. Step 3: Cross multiply
    11,434.78x = 15,779.46 × 6,399.64
  4. Step 4: Simplify right side
    11,434.78x = 100,982,863.39
  5. Step 5: Solve for x
    x = 100,982,863.39/11,434.78
  6. Step 6: Final answer
    x = 8,831.20

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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.