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Finding the Fourth Proportional to 11,773.65, 17,653.56 and 4,753.90

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Solution

The fourth proportional to 11,773.65, 17,653.56 and 4,753.90 is: 7,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.65 : 17,653.56 = 4,753.90 : x
  2. Step 2: Convert to fraction form
    11,773.65/17,653.56 = 4,753.90/x
  3. Step 3: Cross multiply
    11,773.65x = 17,653.56 × 4,753.90
  4. Step 4: Simplify right side
    11,773.65x = 83,923,258.88
  5. Step 5: Solve for x
    x = 83,923,258.88/11,773.65
  6. Step 6: Final answer
    x = 7,128.06

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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.