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Finding the Fourth Proportional to 11,077.80, 15,286.02 and 6,109.48

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Solution

The fourth proportional to 11,077.80, 15,286.02 and 6,109.48 is: 8,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.80 : 15,286.02 = 6,109.48 : x
  2. Step 2: Convert to fraction form
    11,077.80/15,286.02 = 6,109.48/x
  3. Step 3: Cross multiply
    11,077.80x = 15,286.02 × 6,109.48
  4. Step 4: Simplify right side
    11,077.80x = 93,389,633.47
  5. Step 5: Solve for x
    x = 93,389,633.47/11,077.80
  6. Step 6: Final answer
    x = 8,430.34

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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.