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Finding the Fourth Proportional to 11,195.28, 15,448.32 and 8,046

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Solution

The fourth proportional to 11,195.28, 15,448.32 and 8,046 is: 11,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.28 : 15,448.32 = 8,046 : x
  2. Step 2: Convert to fraction form
    11,195.28/15,448.32 = 8,046/x
  3. Step 3: Cross multiply
    11,195.28x = 15,448.32 × 8,046
  4. Step 4: Simplify right side
    11,195.28x = 124,297,182.72
  5. Step 5: Solve for x
    x = 124,297,182.72/11,195.28
  6. Step 6: Final answer
    x = 11,102.64

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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.