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Finding the Fourth Proportional to 8,144.64, 11,239.56 and 4,607.64

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Solution

The fourth proportional to 8,144.64, 11,239.56 and 4,607.64 is: 6,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.64 : 11,239.56 = 4,607.64 : x
  2. Step 2: Convert to fraction form
    8,144.64/11,239.56 = 4,607.64/x
  3. Step 3: Cross multiply
    8,144.64x = 11,239.56 × 4,607.64
  4. Step 4: Simplify right side
    8,144.64x = 51,787,846.24
  5. Step 5: Solve for x
    x = 51,787,846.24/8,144.64
  6. Step 6: Final answer
    x = 6,358.52

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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.