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Finding the Fourth Proportional to 10,230.66, 14,118.78 and 5,754.36

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Solution

The fourth proportional to 10,230.66, 14,118.78 and 5,754.36 is: 7,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.66 : 14,118.78 = 5,754.36 : x
  2. Step 2: Convert to fraction form
    10,230.66/14,118.78 = 5,754.36/x
  3. Step 3: Cross multiply
    10,230.66x = 14,118.78 × 5,754.36
  4. Step 4: Simplify right side
    10,230.66x = 81,244,542.88
  5. Step 5: Solve for x
    x = 81,244,542.88/10,230.66
  6. Step 6: Final answer
    x = 7,941.28

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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.