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Finding the Fourth Proportional to 10,349.97, 15,524.64 and 2,558.78

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Solution

The fourth proportional to 10,349.97, 15,524.64 and 2,558.78 is: 3,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.97 : 15,524.64 = 2,558.78 : x
  2. Step 2: Convert to fraction form
    10,349.97/15,524.64 = 2,558.78/x
  3. Step 3: Cross multiply
    10,349.97x = 15,524.64 × 2,558.78
  4. Step 4: Simplify right side
    10,349.97x = 39,724,138.34
  5. Step 5: Solve for x
    x = 39,724,138.34/10,349.97
  6. Step 6: Final answer
    x = 3,838.09

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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.