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Finding the Fourth Proportional to 10,049.70, 15,075.21 and 3,475.04

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Solution

The fourth proportional to 10,049.70, 15,075.21 and 3,475.04 is: 5,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.70 : 15,075.21 = 3,475.04 : x
  2. Step 2: Convert to fraction form
    10,049.70/15,075.21 = 3,475.04/x
  3. Step 3: Cross multiply
    10,049.70x = 15,075.21 × 3,475.04
  4. Step 4: Simplify right side
    10,049.70x = 52,386,895.41
  5. Step 5: Solve for x
    x = 52,386,895.41/10,049.70
  6. Step 6: Final answer
    x = 5,212.78

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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.