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Finding the Fourth Proportional to 11,648.75, 16,075.57 and 6,343.86

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Solution

The fourth proportional to 11,648.75, 16,075.57 and 6,343.86 is: 8,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.75 : 16,075.57 = 6,343.86 : x
  2. Step 2: Convert to fraction form
    11,648.75/16,075.57 = 6,343.86/x
  3. Step 3: Cross multiply
    11,648.75x = 16,075.57 × 6,343.86
  4. Step 4: Simplify right side
    11,648.75x = 101,981,165.50
  5. Step 5: Solve for x
    x = 101,981,165.50/11,648.75
  6. Step 6: Final answer
    x = 8,754.69

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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.