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Finding the Fourth Proportional to 7,855.67, 11,787.35 and 3,695.51

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Solution

The fourth proportional to 7,855.67, 11,787.35 and 3,695.51 is: 5,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.67 : 11,787.35 = 3,695.51 : x
  2. Step 2: Convert to fraction form
    7,855.67/11,787.35 = 3,695.51/x
  3. Step 3: Cross multiply
    7,855.67x = 11,787.35 × 3,695.51
  4. Step 4: Simplify right side
    7,855.67x = 43,560,192.38
  5. Step 5: Solve for x
    x = 43,560,192.38/7,855.67
  6. Step 6: Final answer
    x = 5,545.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.