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Finding the Fourth Proportional to 10,737.90, 16,105.77 and 2,947.86

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Solution

The fourth proportional to 10,737.90, 16,105.77 and 2,947.86 is: 4,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.90 : 16,105.77 = 2,947.86 : x
  2. Step 2: Convert to fraction form
    10,737.90/16,105.77 = 2,947.86/x
  3. Step 3: Cross multiply
    10,737.90x = 16,105.77 × 2,947.86
  4. Step 4: Simplify right side
    10,737.90x = 47,477,555.15
  5. Step 5: Solve for x
    x = 47,477,555.15/10,737.90
  6. Step 6: Final answer
    x = 4,421.49

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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.