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Finding the Fourth Proportional to 10,449.88, 14,420.13 and 5,734.46

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Solution

The fourth proportional to 10,449.88, 14,420.13 and 5,734.46 is: 7,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.88 : 14,420.13 = 5,734.46 : x
  2. Step 2: Convert to fraction form
    10,449.88/14,420.13 = 5,734.46/x
  3. Step 3: Cross multiply
    10,449.88x = 14,420.13 × 5,734.46
  4. Step 4: Simplify right side
    10,449.88x = 82,691,673.23
  5. Step 5: Solve for x
    x = 82,691,673.23/10,449.88
  6. Step 6: Final answer
    x = 7,913.17

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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.