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Finding the Fourth Proportional to 10,164.54, 15,246.33 and 4,238.99

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Solution

The fourth proportional to 10,164.54, 15,246.33 and 4,238.99 is: 6,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.54 : 15,246.33 = 4,238.99 : x
  2. Step 2: Convert to fraction form
    10,164.54/15,246.33 = 4,238.99/x
  3. Step 3: Cross multiply
    10,164.54x = 15,246.33 × 4,238.99
  4. Step 4: Simplify right side
    10,164.54x = 64,629,040.41
  5. Step 5: Solve for x
    x = 64,629,040.41/10,164.54
  6. Step 6: Final answer
    x = 6,358.28

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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.