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Finding the Fourth Proportional to 8,144.32, 11,239.32 and 4,607.68

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Solution

The fourth proportional to 8,144.32, 11,239.32 and 4,607.68 is: 6,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.32 : 11,239.32 = 4,607.68 : x
  2. Step 2: Convert to fraction form
    8,144.32/11,239.32 = 4,607.68/x
  3. Step 3: Cross multiply
    8,144.32x = 11,239.32 × 4,607.68
  4. Step 4: Simplify right side
    8,144.32x = 51,787,189.98
  5. Step 5: Solve for x
    x = 51,787,189.98/8,144.32
  6. Step 6: Final answer
    x = 6,358.69

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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.