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Finding the Fourth Proportional to 8,538.34, 12,807.54 and 3,340.54

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Solution

The fourth proportional to 8,538.34, 12,807.54 and 3,340.54 is: 5,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.34 : 12,807.54 = 3,340.54 : x
  2. Step 2: Convert to fraction form
    8,538.34/12,807.54 = 3,340.54/x
  3. Step 3: Cross multiply
    8,538.34x = 12,807.54 × 3,340.54
  4. Step 4: Simplify right side
    8,538.34x = 42,784,099.67
  5. Step 5: Solve for x
    x = 42,784,099.67/8,538.34
  6. Step 6: Final answer
    x = 5,010.82

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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.