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Finding the Fourth Proportional to 8,272.84, 11,417.94 and 5,618.44

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Solution

The fourth proportional to 8,272.84, 11,417.94 and 5,618.44 is: 7,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.84 : 11,417.94 = 5,618.44 : x
  2. Step 2: Convert to fraction form
    8,272.84/11,417.94 = 5,618.44/x
  3. Step 3: Cross multiply
    8,272.84x = 11,417.94 × 5,618.44
  4. Step 4: Simplify right side
    8,272.84x = 64,151,010.81
  5. Step 5: Solve for x
    x = 64,151,010.81/8,272.84
  6. Step 6: Final answer
    x = 7,754.41

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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.