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Finding the Fourth Proportional to 8,113.82, 11,197.10 and 4,387.82

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Solution

The fourth proportional to 8,113.82, 11,197.10 and 4,387.82 is: 6,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.82 : 11,197.10 = 4,387.82 : x
  2. Step 2: Convert to fraction form
    8,113.82/11,197.10 = 4,387.82/x
  3. Step 3: Cross multiply
    8,113.82x = 11,197.10 × 4,387.82
  4. Step 4: Simplify right side
    8,113.82x = 49,130,859.32
  5. Step 5: Solve for x
    x = 49,130,859.32/8,113.82
  6. Step 6: Final answer
    x = 6,055.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.