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Finding the Fourth Proportional to 11,174.40, 15,420.78 and 6,138.36

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Solution

The fourth proportional to 11,174.40, 15,420.78 and 6,138.36 is: 8,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.40 : 15,420.78 = 6,138.36 : x
  2. Step 2: Convert to fraction form
    11,174.40/15,420.78 = 6,138.36/x
  3. Step 3: Cross multiply
    11,174.40x = 15,420.78 × 6,138.36
  4. Step 4: Simplify right side
    11,174.40x = 94,658,299.12
  5. Step 5: Solve for x
    x = 94,658,299.12/11,174.40
  6. Step 6: Final answer
    x = 8,471.00

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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.