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Finding the Fourth Proportional to 7,057.74, 10,590.71 and 3,162.15

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Solution

The fourth proportional to 7,057.74, 10,590.71 and 3,162.15 is: 4,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.74 : 10,590.71 = 3,162.15 : x
  2. Step 2: Convert to fraction form
    7,057.74/10,590.71 = 3,162.15/x
  3. Step 3: Cross multiply
    7,057.74x = 10,590.71 × 3,162.15
  4. Step 4: Simplify right side
    7,057.74x = 33,489,369.96
  5. Step 5: Solve for x
    x = 33,489,369.96/7,057.74
  6. Step 6: Final answer
    x = 4,745.06

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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.