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Finding the Fourth Proportional to 10,394.78, 15,588.50 and 4,847.09

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Solution

The fourth proportional to 10,394.78, 15,588.50 and 4,847.09 is: 7,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.78 : 15,588.50 = 4,847.09 : x
  2. Step 2: Convert to fraction form
    10,394.78/15,588.50 = 4,847.09/x
  3. Step 3: Cross multiply
    10,394.78x = 15,588.50 × 4,847.09
  4. Step 4: Simplify right side
    10,394.78x = 75,558,760.29
  5. Step 5: Solve for x
    x = 75,558,760.29/10,394.78
  6. Step 6: Final answer
    x = 7,268.92

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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.