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Finding the Fourth Proportional to 8,319.11, 11,480.18 and 4,782.24

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Solution

The fourth proportional to 8,319.11, 11,480.18 and 4,782.24 is: 6,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.11 : 11,480.18 = 4,782.24 : x
  2. Step 2: Convert to fraction form
    8,319.11/11,480.18 = 4,782.24/x
  3. Step 3: Cross multiply
    8,319.11x = 11,480.18 × 4,782.24
  4. Step 4: Simplify right side
    8,319.11x = 54,900,952.09
  5. Step 5: Solve for x
    x = 54,900,952.09/8,319.11
  6. Step 6: Final answer
    x = 6,599.38

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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.