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Finding the Fourth Proportional to 11,388.80, 15,718.38 and 9,497.05

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Solution

The fourth proportional to 11,388.80, 15,718.38 and 9,497.05 is: 13,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.80 : 15,718.38 = 9,497.05 : x
  2. Step 2: Convert to fraction form
    11,388.80/15,718.38 = 9,497.05/x
  3. Step 3: Cross multiply
    11,388.80x = 15,718.38 × 9,497.05
  4. Step 4: Simplify right side
    11,388.80x = 149,278,192.58
  5. Step 5: Solve for x
    x = 149,278,192.58/11,388.80
  6. Step 6: Final answer
    x = 13,107.45

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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.