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Finding the Fourth Proportional to 7,673.84, 11,508.32 and 2,478.52

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Solution

The fourth proportional to 7,673.84, 11,508.32 and 2,478.52 is: 3,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.84 : 11,508.32 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    7,673.84/11,508.32 = 2,478.52/x
  3. Step 3: Cross multiply
    7,673.84x = 11,508.32 × 2,478.52
  4. Step 4: Simplify right side
    7,673.84x = 28,523,601.29
  5. Step 5: Solve for x
    x = 28,523,601.29/7,673.84
  6. Step 6: Final answer
    x = 3,716.99

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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.