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Finding the Fourth Proportional to 7,182.22, 10,770.48 and 3,024.22

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Solution

The fourth proportional to 7,182.22, 10,770.48 and 3,024.22 is: 4,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.22 : 10,770.48 = 3,024.22 : x
  2. Step 2: Convert to fraction form
    7,182.22/10,770.48 = 3,024.22/x
  3. Step 3: Cross multiply
    7,182.22x = 10,770.48 × 3,024.22
  4. Step 4: Simplify right side
    7,182.22x = 32,572,301.03
  5. Step 5: Solve for x
    x = 32,572,301.03/7,182.22
  6. Step 6: Final answer
    x = 4,535.13

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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.