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Finding the Fourth Proportional to 10,266.40, 14,158.80 and 8,024.80

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Solution

The fourth proportional to 10,266.40, 14,158.80 and 8,024.80 is: 11,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.40 : 14,158.80 = 8,024.80 : x
  2. Step 2: Convert to fraction form
    10,266.40/14,158.80 = 8,024.80/x
  3. Step 3: Cross multiply
    10,266.40x = 14,158.80 × 8,024.80
  4. Step 4: Simplify right side
    10,266.40x = 113,621,538.24
  5. Step 5: Solve for x
    x = 113,621,538.24/10,266.40
  6. Step 6: Final answer
    x = 11,067.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.