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Finding the Fourth Proportional to 12,111.65, 16,714.32 and 6,806.84

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Solution

The fourth proportional to 12,111.65, 16,714.32 and 6,806.84 is: 9,393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.65 : 16,714.32 = 6,806.84 : x
  2. Step 2: Convert to fraction form
    12,111.65/16,714.32 = 6,806.84/x
  3. Step 3: Cross multiply
    12,111.65x = 16,714.32 × 6,806.84
  4. Step 4: Simplify right side
    12,111.65x = 113,771,701.95
  5. Step 5: Solve for x
    x = 113,771,701.95/12,111.65
  6. Step 6: Final answer
    x = 9,393.58

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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.