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Finding the Fourth Proportional to 11,448.28, 15,798.44 and 6,412.49

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Solution

The fourth proportional to 11,448.28, 15,798.44 and 6,412.49 is: 8,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.28 : 15,798.44 = 6,412.49 : x
  2. Step 2: Convert to fraction form
    11,448.28/15,798.44 = 6,412.49/x
  3. Step 3: Cross multiply
    11,448.28x = 15,798.44 × 6,412.49
  4. Step 4: Simplify right side
    11,448.28x = 101,307,227.46
  5. Step 5: Solve for x
    x = 101,307,227.46/11,448.28
  6. Step 6: Final answer
    x = 8,849.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.