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Finding the Fourth Proportional to 12,111.20, 16,714.06 and 6,807.68

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Solution

The fourth proportional to 12,111.20, 16,714.06 and 6,807.68 is: 9,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.20 : 16,714.06 = 6,807.68 : x
  2. Step 2: Convert to fraction form
    12,111.20/16,714.06 = 6,807.68/x
  3. Step 3: Cross multiply
    12,111.20x = 16,714.06 × 6,807.68
  4. Step 4: Simplify right side
    12,111.20x = 113,783,971.98
  5. Step 5: Solve for x
    x = 113,783,971.98/12,111.20
  6. Step 6: Final answer
    x = 9,394.94

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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.