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Finding the Fourth Proportional to 7,767.91, 11,646.84 and 3,328.48

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Solution

The fourth proportional to 7,767.91, 11,646.84 and 3,328.48 is: 4,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.91 : 11,646.84 = 3,328.48 : x
  2. Step 2: Convert to fraction form
    7,767.91/11,646.84 = 3,328.48/x
  3. Step 3: Cross multiply
    7,767.91x = 11,646.84 × 3,328.48
  4. Step 4: Simplify right side
    7,767.91x = 38,766,274.00
  5. Step 5: Solve for x
    x = 38,766,274.00/7,767.91
  6. Step 6: Final answer
    x = 4,990.57

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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.