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Finding the Fourth Proportional to 8,357.30, 12,531.32 and 3,430.41

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Solution

The fourth proportional to 8,357.30, 12,531.32 and 3,430.41 is: 5,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.30 : 12,531.32 = 3,430.41 : x
  2. Step 2: Convert to fraction form
    8,357.30/12,531.32 = 3,430.41/x
  3. Step 3: Cross multiply
    8,357.30x = 12,531.32 × 3,430.41
  4. Step 4: Simplify right side
    8,357.30x = 42,987,565.44
  5. Step 5: Solve for x
    x = 42,987,565.44/8,357.30
  6. Step 6: Final answer
    x = 5,143.71

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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.