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Finding the Fourth Proportional to 10,222.98, 15,333.84 and 3,648.84

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Solution

The fourth proportional to 10,222.98, 15,333.84 and 3,648.84 is: 5,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.98 : 15,333.84 = 3,648.84 : x
  2. Step 2: Convert to fraction form
    10,222.98/15,333.84 = 3,648.84/x
  3. Step 3: Cross multiply
    10,222.98x = 15,333.84 × 3,648.84
  4. Step 4: Simplify right side
    10,222.98x = 55,950,728.75
  5. Step 5: Solve for x
    x = 55,950,728.75/10,222.98
  6. Step 6: Final answer
    x = 5,473.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.