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Finding the Fourth Proportional to 10,937.76, 16,412.00 and 6,776.66

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Solution

The fourth proportional to 10,937.76, 16,412.00 and 6,776.66 is: 10,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.76 : 16,412.00 = 6,776.66 : x
  2. Step 2: Convert to fraction form
    10,937.76/16,412.00 = 6,776.66/x
  3. Step 3: Cross multiply
    10,937.76x = 16,412.00 × 6,776.66
  4. Step 4: Simplify right side
    10,937.76x = 111,218,427.98
  5. Step 5: Solve for x
    x = 111,218,427.98/10,937.76
  6. Step 6: Final answer
    x = 10,168.30

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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.