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Finding the Fourth Proportional to 8,219.29, 12,328.65 and 2,376.49

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Solution

The fourth proportional to 8,219.29, 12,328.65 and 2,376.49 is: 3,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.29 : 12,328.65 = 2,376.49 : x
  2. Step 2: Convert to fraction form
    8,219.29/12,328.65 = 2,376.49/x
  3. Step 3: Cross multiply
    8,219.29x = 12,328.65 × 2,376.49
  4. Step 4: Simplify right side
    8,219.29x = 29,298,913.44
  5. Step 5: Solve for x
    x = 29,298,913.44/8,219.29
  6. Step 6: Final answer
    x = 3,564.65

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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.