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Finding the Fourth Proportional to 11,107.64, 15,340.02 and 9,608.36

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Solution

The fourth proportional to 11,107.64, 15,340.02 and 9,608.36 is: 13,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.64 : 15,340.02 = 9,608.36 : x
  2. Step 2: Convert to fraction form
    11,107.64/15,340.02 = 9,608.36/x
  3. Step 3: Cross multiply
    11,107.64x = 15,340.02 × 9,608.36
  4. Step 4: Simplify right side
    11,107.64x = 147,392,434.57
  5. Step 5: Solve for x
    x = 147,392,434.57/11,107.64
  6. Step 6: Final answer
    x = 13,269.46

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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.