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Finding the Fourth Proportional to 7,722.12, 10,662.66 and 7,132.44

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Solution

The fourth proportional to 7,722.12, 10,662.66 and 7,132.44 is: 9,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.12 : 10,662.66 = 7,132.44 : x
  2. Step 2: Convert to fraction form
    7,722.12/10,662.66 = 7,132.44/x
  3. Step 3: Cross multiply
    7,722.12x = 10,662.66 × 7,132.44
  4. Step 4: Simplify right side
    7,722.12x = 76,050,782.69
  5. Step 5: Solve for x
    x = 76,050,782.69/7,722.12
  6. Step 6: Final answer
    x = 9,848.43

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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.