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Finding the Fourth Proportional to 10,218.98, 14,101.39 and 5,741.90

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Solution

The fourth proportional to 10,218.98, 14,101.39 and 5,741.90 is: 7,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.98 : 14,101.39 = 5,741.90 : x
  2. Step 2: Convert to fraction form
    10,218.98/14,101.39 = 5,741.90/x
  3. Step 3: Cross multiply
    10,218.98x = 14,101.39 × 5,741.90
  4. Step 4: Simplify right side
    10,218.98x = 80,968,686.38
  5. Step 5: Solve for x
    x = 80,968,686.38/10,218.98
  6. Step 6: Final answer
    x = 7,923.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.