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Finding the Fourth Proportional to 8,764, 13,151.76 and 4,147.36

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Solution

The fourth proportional to 8,764, 13,151.76 and 4,147.36 is: 6,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764 : 13,151.76 = 4,147.36 : x
  2. Step 2: Convert to fraction form
    8,764/13,151.76 = 4,147.36/x
  3. Step 3: Cross multiply
    8,764x = 13,151.76 × 4,147.36
  4. Step 4: Simplify right side
    8,764x = 54,545,083.35
  5. Step 5: Solve for x
    x = 54,545,083.35/8,764
  6. Step 6: Final answer
    x = 6,223.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.