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Finding the Fourth Proportional to 12,098.79, 18,151.46 and 5,075.10

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Solution

The fourth proportional to 12,098.79, 18,151.46 and 5,075.10 is: 7,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.79 : 18,151.46 = 5,075.10 : x
  2. Step 2: Convert to fraction form
    12,098.79/18,151.46 = 5,075.10/x
  3. Step 3: Cross multiply
    12,098.79x = 18,151.46 × 5,075.10
  4. Step 4: Simplify right side
    12,098.79x = 92,120,449.27
  5. Step 5: Solve for x
    x = 92,120,449.27/12,098.79
  6. Step 6: Final answer
    x = 7,614.02

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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.