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Finding the Fourth Proportional to 11,182.19, 15,432.22 and 6,705.86

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Solution

The fourth proportional to 11,182.19, 15,432.22 and 6,705.86 is: 9,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.19 : 15,432.22 = 6,705.86 : x
  2. Step 2: Convert to fraction form
    11,182.19/15,432.22 = 6,705.86/x
  3. Step 3: Cross multiply
    11,182.19x = 15,432.22 × 6,705.86
  4. Step 4: Simplify right side
    11,182.19x = 103,486,238.03
  5. Step 5: Solve for x
    x = 103,486,238.03/11,182.19
  6. Step 6: Final answer
    x = 9,254.56

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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.