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Finding the Fourth Proportional to 7,734.38, 11,586.63 and 4,616.87

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Solution

The fourth proportional to 7,734.38, 11,586.63 and 4,616.87 is: 6,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.38 : 11,586.63 = 4,616.87 : x
  2. Step 2: Convert to fraction form
    7,734.38/11,586.63 = 4,616.87/x
  3. Step 3: Cross multiply
    7,734.38x = 11,586.63 × 4,616.87
  4. Step 4: Simplify right side
    7,734.38x = 53,493,993.41
  5. Step 5: Solve for x
    x = 53,493,993.41/7,734.38
  6. Step 6: Final answer
    x = 6,916.40

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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.