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Finding the Fourth Proportional to 8,165.65, 12,248.54 and 2,619

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Solution

The fourth proportional to 8,165.65, 12,248.54 and 2,619 is: 3,928.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.65 : 12,248.54 = 2,619 : x
  2. Step 2: Convert to fraction form
    8,165.65/12,248.54 = 2,619/x
  3. Step 3: Cross multiply
    8,165.65x = 12,248.54 × 2,619
  4. Step 4: Simplify right side
    8,165.65x = 32,078,913.17
  5. Step 5: Solve for x
    x = 32,078,913.17/8,165.65
  6. Step 6: Final answer
    x = 3,928.52

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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.