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Finding the Fourth Proportional to 10,267.46, 14,169.09 and 5,551.74

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Solution

The fourth proportional to 10,267.46, 14,169.09 and 5,551.74 is: 7,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.46 : 14,169.09 = 5,551.74 : x
  2. Step 2: Convert to fraction form
    10,267.46/14,169.09 = 5,551.74/x
  3. Step 3: Cross multiply
    10,267.46x = 14,169.09 × 5,551.74
  4. Step 4: Simplify right side
    10,267.46x = 78,663,005.11
  5. Step 5: Solve for x
    x = 78,663,005.11/10,267.46
  6. Step 6: Final answer
    x = 7,661.39

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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.