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Finding the Fourth Proportional to 10,153.93, 15,231.34 and 3,580.17

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Solution

The fourth proportional to 10,153.93, 15,231.34 and 3,580.17 is: 5,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.93 : 15,231.34 = 3,580.17 : x
  2. Step 2: Convert to fraction form
    10,153.93/15,231.34 = 3,580.17/x
  3. Step 3: Cross multiply
    10,153.93x = 15,231.34 × 3,580.17
  4. Step 4: Simplify right side
    10,153.93x = 54,530,786.53
  5. Step 5: Solve for x
    x = 54,530,786.53/10,153.93
  6. Step 6: Final answer
    x = 5,370.41

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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.