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Finding the Fourth Proportional to 11,107.60, 15,331.08 and 7,331.44

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Solution

The fourth proportional to 11,107.60, 15,331.08 and 7,331.44 is: 10,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.60 : 15,331.08 = 7,331.44 : x
  2. Step 2: Convert to fraction form
    11,107.60/15,331.08 = 7,331.44/x
  3. Step 3: Cross multiply
    11,107.60x = 15,331.08 × 7,331.44
  4. Step 4: Simplify right side
    11,107.60x = 112,398,893.16
  5. Step 5: Solve for x
    x = 112,398,893.16/11,107.60
  6. Step 6: Final answer
    x = 10,119.10

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Why These Related Problems?

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