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Finding the Fourth Proportional to 12,111.65, 16,714.76 and 8,071.46

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Solution

The fourth proportional to 12,111.65, 16,714.76 and 8,071.46 is: 11,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.65 : 16,714.76 = 8,071.46 : x
  2. Step 2: Convert to fraction form
    12,111.65/16,714.76 = 8,071.46/x
  3. Step 3: Cross multiply
    12,111.65x = 16,714.76 × 8,071.46
  4. Step 4: Simplify right side
    12,111.65x = 134,912,516.75
  5. Step 5: Solve for x
    x = 134,912,516.75/12,111.65
  6. Step 6: Final answer
    x = 11,139.07

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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.