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Finding the Fourth Proportional to 10,768.65, 16,151.95 and 3,746.98

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Solution

The fourth proportional to 10,768.65, 16,151.95 and 3,746.98 is: 5,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.65 : 16,151.95 = 3,746.98 : x
  2. Step 2: Convert to fraction form
    10,768.65/16,151.95 = 3,746.98/x
  3. Step 3: Cross multiply
    10,768.65x = 16,151.95 × 3,746.98
  4. Step 4: Simplify right side
    10,768.65x = 60,521,033.61
  5. Step 5: Solve for x
    x = 60,521,033.61/10,768.65
  6. Step 6: Final answer
    x = 5,620.11

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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.