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Finding the Fourth Proportional to 10,175.41, 14,040.70 and 5,698.54

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Solution

The fourth proportional to 10,175.41, 14,040.70 and 5,698.54 is: 7,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.41 : 14,040.70 = 5,698.54 : x
  2. Step 2: Convert to fraction form
    10,175.41/14,040.70 = 5,698.54/x
  3. Step 3: Cross multiply
    10,175.41x = 14,040.70 × 5,698.54
  4. Step 4: Simplify right side
    10,175.41x = 80,011,490.58
  5. Step 5: Solve for x
    x = 80,011,490.58/10,175.41
  6. Step 6: Final answer
    x = 7,863.22

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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.