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Finding the Fourth Proportional to 8,232, 12,350.77 and 2,610.58

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Solution

The fourth proportional to 8,232, 12,350.77 and 2,610.58 is: 3,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,350.77 = 2,610.58 : x
  2. Step 2: Convert to fraction form
    8,232/12,350.77 = 2,610.58/x
  3. Step 3: Cross multiply
    8,232x = 12,350.77 × 2,610.58
  4. Step 4: Simplify right side
    8,232x = 32,242,673.15
  5. Step 5: Solve for x
    x = 32,242,673.15/8,232
  6. Step 6: Final answer
    x = 3,916.75

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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.