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Finding the Fourth Proportional to 7,862.92, 11,794.35 and 2,316.25

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Solution

The fourth proportional to 7,862.92, 11,794.35 and 2,316.25 is: 3,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.92 : 11,794.35 = 2,316.25 : x
  2. Step 2: Convert to fraction form
    7,862.92/11,794.35 = 2,316.25/x
  3. Step 3: Cross multiply
    7,862.92x = 11,794.35 × 2,316.25
  4. Step 4: Simplify right side
    7,862.92x = 27,318,680.83
  5. Step 5: Solve for x
    x = 27,318,680.83/7,862.92
  6. Step 6: Final answer
    x = 3,474.37

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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.