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Finding the Fourth Proportional to 8,197.49, 11,314.34 and 5,011.90

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Solution

The fourth proportional to 8,197.49, 11,314.34 and 5,011.90 is: 6,917.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.49 : 11,314.34 = 5,011.90 : x
  2. Step 2: Convert to fraction form
    8,197.49/11,314.34 = 5,011.90/x
  3. Step 3: Cross multiply
    8,197.49x = 11,314.34 × 5,011.90
  4. Step 4: Simplify right side
    8,197.49x = 56,706,340.65
  5. Step 5: Solve for x
    x = 56,706,340.65/8,197.49
  6. Step 6: Final answer
    x = 6,917.52

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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.