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Finding the Fourth Proportional to 10,267.73, 14,169.46 and 5,552

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Solution

The fourth proportional to 10,267.73, 14,169.46 and 5,552 is: 7,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.73 : 14,169.46 = 5,552 : x
  2. Step 2: Convert to fraction form
    10,267.73/14,169.46 = 5,552/x
  3. Step 3: Cross multiply
    10,267.73x = 14,169.46 × 5,552
  4. Step 4: Simplify right side
    10,267.73x = 78,668,828.04
  5. Step 5: Solve for x
    x = 78,668,828.04/10,267.73
  6. Step 6: Final answer
    x = 7,661.75

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