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Finding the Fourth Proportional to 8,764.65, 13,138.47 and 3,498.14

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Solution

The fourth proportional to 8,764.65, 13,138.47 and 3,498.14 is: 5,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.65 : 13,138.47 = 3,498.14 : x
  2. Step 2: Convert to fraction form
    8,764.65/13,138.47 = 3,498.14/x
  3. Step 3: Cross multiply
    8,764.65x = 13,138.47 × 3,498.14
  4. Step 4: Simplify right side
    8,764.65x = 45,960,141.75
  5. Step 5: Solve for x
    x = 45,960,141.75/8,764.65
  6. Step 6: Final answer
    x = 5,243.81

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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.