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Finding the Fourth Proportional to 11,161.58, 15,364.32 and 9,648.44

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Solution

The fourth proportional to 11,161.58, 15,364.32 and 9,648.44 is: 13,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.58 : 15,364.32 = 9,648.44 : x
  2. Step 2: Convert to fraction form
    11,161.58/15,364.32 = 9,648.44/x
  3. Step 3: Cross multiply
    11,161.58x = 15,364.32 × 9,648.44
  4. Step 4: Simplify right side
    11,161.58x = 148,241,719.66
  5. Step 5: Solve for x
    x = 148,241,719.66/11,161.58
  6. Step 6: Final answer
    x = 13,281.43

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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.