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Finding the Fourth Proportional to 12,111.08, 16,724.22 and 7,642.76

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Solution

The fourth proportional to 12,111.08, 16,724.22 and 7,642.76 is: 10,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.08 : 16,724.22 = 7,642.76 : x
  2. Step 2: Convert to fraction form
    12,111.08/16,724.22 = 7,642.76/x
  3. Step 3: Cross multiply
    12,111.08x = 16,724.22 × 7,642.76
  4. Step 4: Simplify right side
    12,111.08x = 127,819,199.65
  5. Step 5: Solve for x
    x = 127,819,199.65/12,111.08
  6. Step 6: Final answer
    x = 10,553.91

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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.