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Finding the Fourth Proportional to 10,240.31, 14,128.80 and 5,763.80

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Solution

The fourth proportional to 10,240.31, 14,128.80 and 5,763.80 is: 7,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.31 : 14,128.80 = 5,763.80 : x
  2. Step 2: Convert to fraction form
    10,240.31/14,128.80 = 5,763.80/x
  3. Step 3: Cross multiply
    10,240.31x = 14,128.80 × 5,763.80
  4. Step 4: Simplify right side
    10,240.31x = 81,435,577.44
  5. Step 5: Solve for x
    x = 81,435,577.44/10,240.31
  6. Step 6: Final answer
    x = 7,952.45

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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.