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Finding the Fourth Proportional to 12,111.66, 16,712.46 and 7,076.70

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Solution

The fourth proportional to 12,111.66, 16,712.46 and 7,076.70 is: 9,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.66 : 16,712.46 = 7,076.70 : x
  2. Step 2: Convert to fraction form
    12,111.66/16,712.46 = 7,076.70/x
  3. Step 3: Cross multiply
    12,111.66x = 16,712.46 × 7,076.70
  4. Step 4: Simplify right side
    12,111.66x = 118,269,065.68
  5. Step 5: Solve for x
    x = 118,269,065.68/12,111.66
  6. Step 6: Final answer
    x = 9,764.89

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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.