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Finding the Fourth Proportional to 10,146.52, 15,221 and 3,905.08

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Solution

The fourth proportional to 10,146.52, 15,221 and 3,905.08 is: 5,858.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.52 : 15,221 = 3,905.08 : x
  2. Step 2: Convert to fraction form
    10,146.52/15,221 = 3,905.08/x
  3. Step 3: Cross multiply
    10,146.52x = 15,221 × 3,905.08
  4. Step 4: Simplify right side
    10,146.52x = 59,439,222.68
  5. Step 5: Solve for x
    x = 59,439,222.68/10,146.52
  6. Step 6: Final answer
    x = 5,858.09

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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.