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Finding the Fourth Proportional to 10,937.61, 16,396.65 and 4,010.49

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Solution

The fourth proportional to 10,937.61, 16,396.65 and 4,010.49 is: 6,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.61 : 16,396.65 = 4,010.49 : x
  2. Step 2: Convert to fraction form
    10,937.61/16,396.65 = 4,010.49/x
  3. Step 3: Cross multiply
    10,937.61x = 16,396.65 × 4,010.49
  4. Step 4: Simplify right side
    10,937.61x = 65,758,600.86
  5. Step 5: Solve for x
    x = 65,758,600.86/10,937.61
  6. Step 6: Final answer
    x = 6,012.15

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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.