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Finding the Fourth Proportional to 10,916.42, 16,370.10 and 6,750.32

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Solution

The fourth proportional to 10,916.42, 16,370.10 and 6,750.32 is: 10,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.42 : 16,370.10 = 6,750.32 : x
  2. Step 2: Convert to fraction form
    10,916.42/16,370.10 = 6,750.32/x
  3. Step 3: Cross multiply
    10,916.42x = 16,370.10 × 6,750.32
  4. Step 4: Simplify right side
    10,916.42x = 110,503,413.43
  5. Step 5: Solve for x
    x = 110,503,413.43/10,916.42
  6. Step 6: Final answer
    x = 10,122.68

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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.