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Finding the Fourth Proportional to 8,824, 12,178.62 and 5,100.16

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Solution

The fourth proportional to 8,824, 12,178.62 and 5,100.16 is: 7,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824 : 12,178.62 = 5,100.16 : x
  2. Step 2: Convert to fraction form
    8,824/12,178.62 = 5,100.16/x
  3. Step 3: Cross multiply
    8,824x = 12,178.62 × 5,100.16
  4. Step 4: Simplify right side
    8,824x = 62,112,910.58
  5. Step 5: Solve for x
    x = 62,112,910.58/8,824
  6. Step 6: Final answer
    x = 7,039.09

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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.