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Finding the Fourth Proportional to 7,722.19, 11,580.22 and 2,789.16

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Solution

The fourth proportional to 7,722.19, 11,580.22 and 2,789.16 is: 4,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.19 : 11,580.22 = 2,789.16 : x
  2. Step 2: Convert to fraction form
    7,722.19/11,580.22 = 2,789.16/x
  3. Step 3: Cross multiply
    7,722.19x = 11,580.22 × 2,789.16
  4. Step 4: Simplify right side
    7,722.19x = 32,299,086.42
  5. Step 5: Solve for x
    x = 32,299,086.42/7,722.19
  6. Step 6: Final answer
    x = 4,182.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.