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Finding the Fourth Proportional to 10,048.81, 15,107.39 and 8,213.25

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Solution

The fourth proportional to 10,048.81, 15,107.39 and 8,213.25 is: 12,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.81 : 15,107.39 = 8,213.25 : x
  2. Step 2: Convert to fraction form
    10,048.81/15,107.39 = 8,213.25/x
  3. Step 3: Cross multiply
    10,048.81x = 15,107.39 × 8,213.25
  4. Step 4: Simplify right side
    10,048.81x = 124,080,709.22
  5. Step 5: Solve for x
    x = 124,080,709.22/10,048.81
  6. Step 6: Final answer
    x = 12,347.80

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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.