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Finding the Fourth Proportional to 10,174.98, 14,041.09 and 5,698.51

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Solution

The fourth proportional to 10,174.98, 14,041.09 and 5,698.51 is: 7,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.98 : 14,041.09 = 5,698.51 : x
  2. Step 2: Convert to fraction form
    10,174.98/14,041.09 = 5,698.51/x
  3. Step 3: Cross multiply
    10,174.98x = 14,041.09 × 5,698.51
  4. Step 4: Simplify right side
    10,174.98x = 80,013,291.78
  5. Step 5: Solve for x
    x = 80,013,291.78/10,174.98
  6. Step 6: Final answer
    x = 7,863.73

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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.