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Finding the Fourth Proportional to 7,767.67, 11,651.20 and 1,924.13

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Solution

The fourth proportional to 7,767.67, 11,651.20 and 1,924.13 is: 2,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.67 : 11,651.20 = 1,924.13 : x
  2. Step 2: Convert to fraction form
    7,767.67/11,651.20 = 1,924.13/x
  3. Step 3: Cross multiply
    7,767.67x = 11,651.20 × 1,924.13
  4. Step 4: Simplify right side
    7,767.67x = 22,418,423.46
  5. Step 5: Solve for x
    x = 22,418,423.46/7,767.67
  6. Step 6: Final answer
    x = 2,886.12

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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.