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Finding the Fourth Proportional to 7,570.22, 10,446.18 and 5,581.85

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Solution

The fourth proportional to 7,570.22, 10,446.18 and 5,581.85 is: 7,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.22 : 10,446.18 = 5,581.85 : x
  2. Step 2: Convert to fraction form
    7,570.22/10,446.18 = 5,581.85/x
  3. Step 3: Cross multiply
    7,570.22x = 10,446.18 × 5,581.85
  4. Step 4: Simplify right side
    7,570.22x = 58,309,009.83
  5. Step 5: Solve for x
    x = 58,309,009.83/7,570.22
  6. Step 6: Final answer
    x = 7,702.42

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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.