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Finding the Fourth Proportional to 12,212.75, 16,848.61 and 7,962.32

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Solution

The fourth proportional to 12,212.75, 16,848.61 and 7,962.32 is: 10,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.75 : 16,848.61 = 7,962.32 : x
  2. Step 2: Convert to fraction form
    12,212.75/16,848.61 = 7,962.32/x
  3. Step 3: Cross multiply
    12,212.75x = 16,848.61 × 7,962.32
  4. Step 4: Simplify right side
    12,212.75x = 134,154,046.59
  5. Step 5: Solve for x
    x = 134,154,046.59/12,212.75
  6. Step 6: Final answer
    x = 10,984.75

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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.