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Finding the Fourth Proportional to 7,767.80, 11,655.87 and 3,384.99

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Solution

The fourth proportional to 7,767.80, 11,655.87 and 3,384.99 is: 5,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.80 : 11,655.87 = 3,384.99 : x
  2. Step 2: Convert to fraction form
    7,767.80/11,655.87 = 3,384.99/x
  3. Step 3: Cross multiply
    7,767.80x = 11,655.87 × 3,384.99
  4. Step 4: Simplify right side
    7,767.80x = 39,455,019.26
  5. Step 5: Solve for x
    x = 39,455,019.26/7,767.80
  6. Step 6: Final answer
    x = 5,079.31

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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.