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Finding the Fourth Proportional to 8,238.72, 11,369.16 and 4,701.78

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Solution

The fourth proportional to 8,238.72, 11,369.16 and 4,701.78 is: 6,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.72 : 11,369.16 = 4,701.78 : x
  2. Step 2: Convert to fraction form
    8,238.72/11,369.16 = 4,701.78/x
  3. Step 3: Cross multiply
    8,238.72x = 11,369.16 × 4,701.78
  4. Step 4: Simplify right side
    8,238.72x = 53,455,289.10
  5. Step 5: Solve for x
    x = 53,455,289.10/8,238.72
  6. Step 6: Final answer
    x = 6,488.30

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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.