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Finding the Fourth Proportional to 11,347.20, 15,659.44 and 6,870

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Solution

The fourth proportional to 11,347.20, 15,659.44 and 6,870 is: 9,480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.20 : 15,659.44 = 6,870 : x
  2. Step 2: Convert to fraction form
    11,347.20/15,659.44 = 6,870/x
  3. Step 3: Cross multiply
    11,347.20x = 15,659.44 × 6,870
  4. Step 4: Simplify right side
    11,347.20x = 107,580,352.80
  5. Step 5: Solve for x
    x = 107,580,352.80/11,347.20
  6. Step 6: Final answer
    x = 9,480.78

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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.