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Finding the Fourth Proportional to 7,767.66, 11,642.70 and 3,810.42

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Solution

The fourth proportional to 7,767.66, 11,642.70 and 3,810.42 is: 5,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.66 : 11,642.70 = 3,810.42 : x
  2. Step 2: Convert to fraction form
    7,767.66/11,642.70 = 3,810.42/x
  3. Step 3: Cross multiply
    7,767.66x = 11,642.70 × 3,810.42
  4. Step 4: Simplify right side
    7,767.66x = 44,363,576.93
  5. Step 5: Solve for x
    x = 44,363,576.93/7,767.66
  6. Step 6: Final answer
    x = 5,711.32

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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.