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Finding the Fourth Proportional to 10,230.84, 15,351.66 and 3,661.56

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Solution

The fourth proportional to 10,230.84, 15,351.66 and 3,661.56 is: 5,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.84 : 15,351.66 = 3,661.56 : x
  2. Step 2: Convert to fraction form
    10,230.84/15,351.66 = 3,661.56/x
  3. Step 3: Cross multiply
    10,230.84x = 15,351.66 × 3,661.56
  4. Step 4: Simplify right side
    10,230.84x = 56,211,024.19
  5. Step 5: Solve for x
    x = 56,211,024.19/10,230.84
  6. Step 6: Final answer
    x = 5,494.27

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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.