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Finding the Fourth Proportional to 17,840.91, 26,765.28 and 7,311

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Solution

The fourth proportional to 17,840.91, 26,765.28 and 7,311 is: 10,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840.91 : 26,765.28 = 7,311 : x
  2. Step 2: Convert to fraction form
    17,840.91/26,765.28 = 7,311/x
  3. Step 3: Cross multiply
    17,840.91x = 26,765.28 × 7,311
  4. Step 4: Simplify right side
    17,840.91x = 195,680,962.08
  5. Step 5: Solve for x
    x = 195,680,962.08/17,840.91
  6. Step 6: Final answer
    x = 10,968.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.