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Finding the Fourth Proportional to 11,174.82, 15,420.42 and 6,139.02

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Solution

The fourth proportional to 11,174.82, 15,420.42 and 6,139.02 is: 8,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.82 : 15,420.42 = 6,139.02 : x
  2. Step 2: Convert to fraction form
    11,174.82/15,420.42 = 6,139.02/x
  3. Step 3: Cross multiply
    11,174.82x = 15,420.42 × 6,139.02
  4. Step 4: Simplify right side
    11,174.82x = 94,666,266.79
  5. Step 5: Solve for x
    x = 94,666,266.79/11,174.82
  6. Step 6: Final answer
    x = 8,471.39

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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.