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Finding the Fourth Proportional to 11,899.83, 17,854.65 and 5,232.90

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Solution

The fourth proportional to 11,899.83, 17,854.65 and 5,232.90 is: 7,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.83 : 17,854.65 = 5,232.90 : x
  2. Step 2: Convert to fraction form
    11,899.83/17,854.65 = 5,232.90/x
  3. Step 3: Cross multiply
    11,899.83x = 17,854.65 × 5,232.90
  4. Step 4: Simplify right side
    11,899.83x = 93,431,571.82
  5. Step 5: Solve for x
    x = 93,431,571.82/11,899.83
  6. Step 6: Final answer
    x = 7,851.50

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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.