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Finding the Fourth Proportional to 10,175.49, 14,040.54 and 5,699.43

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Solution

The fourth proportional to 10,175.49, 14,040.54 and 5,699.43 is: 7,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.49 : 14,040.54 = 5,699.43 : x
  2. Step 2: Convert to fraction form
    10,175.49/14,040.54 = 5,699.43/x
  3. Step 3: Cross multiply
    10,175.49x = 14,040.54 × 5,699.43
  4. Step 4: Simplify right side
    10,175.49x = 80,023,074.89
  5. Step 5: Solve for x
    x = 80,023,074.89/10,175.49
  6. Step 6: Final answer
    x = 7,864.30

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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.