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Finding the Fourth Proportional to 8,218.17, 11,341.22 and 4,681.44

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Solution

The fourth proportional to 8,218.17, 11,341.22 and 4,681.44 is: 6,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.17 : 11,341.22 = 4,681.44 : x
  2. Step 2: Convert to fraction form
    8,218.17/11,341.22 = 4,681.44/x
  3. Step 3: Cross multiply
    8,218.17x = 11,341.22 × 4,681.44
  4. Step 4: Simplify right side
    8,218.17x = 53,093,217.55
  5. Step 5: Solve for x
    x = 53,093,217.55/8,218.17
  6. Step 6: Final answer
    x = 6,460.47

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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.