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Finding the Fourth Proportional to 8,916.62, 12,305.63 and 4,938.10

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Solution

The fourth proportional to 8,916.62, 12,305.63 and 4,938.10 is: 6,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.62 : 12,305.63 = 4,938.10 : x
  2. Step 2: Convert to fraction form
    8,916.62/12,305.63 = 4,938.10/x
  3. Step 3: Cross multiply
    8,916.62x = 12,305.63 × 4,938.10
  4. Step 4: Simplify right side
    8,916.62x = 60,766,413.08
  5. Step 5: Solve for x
    x = 60,766,413.08/8,916.62
  6. Step 6: Final answer
    x = 6,814.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.