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Finding the Fourth Proportional to 8,257.42, 12,386.22 and 2,334.36

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Solution

The fourth proportional to 8,257.42, 12,386.22 and 2,334.36 is: 3,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.42 : 12,386.22 = 2,334.36 : x
  2. Step 2: Convert to fraction form
    8,257.42/12,386.22 = 2,334.36/x
  3. Step 3: Cross multiply
    8,257.42x = 12,386.22 × 2,334.36
  4. Step 4: Simplify right side
    8,257.42x = 28,913,834.59
  5. Step 5: Solve for x
    x = 28,913,834.59/8,257.42
  6. Step 6: Final answer
    x = 3,501.56

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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.