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Finding the Fourth Proportional to 7,869, 11,787.67 and 3,646.34

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Solution

The fourth proportional to 7,869, 11,787.67 and 3,646.34 is: 5,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 11,787.67 = 3,646.34 : x
  2. Step 2: Convert to fraction form
    7,869/11,787.67 = 3,646.34/x
  3. Step 3: Cross multiply
    7,869x = 11,787.67 × 3,646.34
  4. Step 4: Simplify right side
    7,869x = 42,981,798.25
  5. Step 5: Solve for x
    x = 42,981,798.25/7,869
  6. Step 6: Final answer
    x = 5,462.17

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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.