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Finding the Fourth Proportional to 10,074, 15,100.20 and 4,868.40

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Solution

The fourth proportional to 10,074, 15,100.20 and 4,868.40 is: 7,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 15,100.20 = 4,868.40 : x
  2. Step 2: Convert to fraction form
    10,074/15,100.20 = 4,868.40/x
  3. Step 3: Cross multiply
    10,074x = 15,100.20 × 4,868.40
  4. Step 4: Simplify right side
    10,074x = 73,513,813.68
  5. Step 5: Solve for x
    x = 73,513,813.68/10,074
  6. Step 6: Final answer
    x = 7,297.38

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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.