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Finding the Fourth Proportional to 10,244.40, 14,128.44 and 8,002.80

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Solution

The fourth proportional to 10,244.40, 14,128.44 and 8,002.80 is: 11,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.40 : 14,128.44 = 8,002.80 : x
  2. Step 2: Convert to fraction form
    10,244.40/14,128.44 = 8,002.80/x
  3. Step 3: Cross multiply
    10,244.40x = 14,128.44 × 8,002.80
  4. Step 4: Simplify right side
    10,244.40x = 113,067,079.63
  5. Step 5: Solve for x
    x = 113,067,079.63/10,244.40
  6. Step 6: Final answer
    x = 11,036.96

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