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Finding the Fourth Proportional to 10,266.66, 14,168 and 5,550.94

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Solution

The fourth proportional to 10,266.66, 14,168 and 5,550.94 is: 7,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.66 : 14,168 = 5,550.94 : x
  2. Step 2: Convert to fraction form
    10,266.66/14,168 = 5,550.94/x
  3. Step 3: Cross multiply
    10,266.66x = 14,168 × 5,550.94
  4. Step 4: Simplify right side
    10,266.66x = 78,645,717.92
  5. Step 5: Solve for x
    x = 78,645,717.92/10,266.66
  6. Step 6: Final answer
    x = 7,660.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.