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Finding the Fourth Proportional to 7,699.12, 11,545.82 and 2,767.42

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Solution

The fourth proportional to 7,699.12, 11,545.82 and 2,767.42 is: 4,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.12 : 11,545.82 = 2,767.42 : x
  2. Step 2: Convert to fraction form
    7,699.12/11,545.82 = 2,767.42/x
  3. Step 3: Cross multiply
    7,699.12x = 11,545.82 × 2,767.42
  4. Step 4: Simplify right side
    7,699.12x = 31,952,133.18
  5. Step 5: Solve for x
    x = 31,952,133.18/7,699.12
  6. Step 6: Final answer
    x = 4,150.10

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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.