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Finding the Fourth Proportional to 10,758.40, 16,126.80 and 4,919.20

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Solution

The fourth proportional to 10,758.40, 16,126.80 and 4,919.20 is: 7,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.40 : 16,126.80 = 4,919.20 : x
  2. Step 2: Convert to fraction form
    10,758.40/16,126.80 = 4,919.20/x
  3. Step 3: Cross multiply
    10,758.40x = 16,126.80 × 4,919.20
  4. Step 4: Simplify right side
    10,758.40x = 79,330,954.56
  5. Step 5: Solve for x
    x = 79,330,954.56/10,758.40
  6. Step 6: Final answer
    x = 7,373.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.