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Finding the Fourth Proportional to 12,111.92, 16,714.96 and 6,806.72

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Solution

The fourth proportional to 12,111.92, 16,714.96 and 6,806.72 is: 9,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.92 : 16,714.96 = 6,806.72 : x
  2. Step 2: Convert to fraction form
    12,111.92/16,714.96 = 6,806.72/x
  3. Step 3: Cross multiply
    12,111.92x = 16,714.96 × 6,806.72
  4. Step 4: Simplify right side
    12,111.92x = 113,774,052.53
  5. Step 5: Solve for x
    x = 113,774,052.53/12,111.92
  6. Step 6: Final answer
    x = 9,393.56

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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.