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Finding the Fourth Proportional to 8,767.68, 13,148.32 and 3,219.20

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Solution

The fourth proportional to 8,767.68, 13,148.32 and 3,219.20 is: 4,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.68 : 13,148.32 = 3,219.20 : x
  2. Step 2: Convert to fraction form
    8,767.68/13,148.32 = 3,219.20/x
  3. Step 3: Cross multiply
    8,767.68x = 13,148.32 × 3,219.20
  4. Step 4: Simplify right side
    8,767.68x = 42,327,071.74
  5. Step 5: Solve for x
    x = 42,327,071.74/8,767.68
  6. Step 6: Final answer
    x = 4,827.63

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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.