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Finding the Fourth Proportional to 7,912.74, 10,909.66 and 5,075.11

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Solution

The fourth proportional to 7,912.74, 10,909.66 and 5,075.11 is: 6,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.74 : 10,909.66 = 5,075.11 : x
  2. Step 2: Convert to fraction form
    7,912.74/10,909.66 = 5,075.11/x
  3. Step 3: Cross multiply
    7,912.74x = 10,909.66 × 5,075.11
  4. Step 4: Simplify right side
    7,912.74x = 55,367,684.60
  5. Step 5: Solve for x
    x = 55,367,684.60/7,912.74
  6. Step 6: Final answer
    x = 6,997.28

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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.