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Finding the Fourth Proportional to 12,164.04, 16,790.94 and 7,972.56

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Solution

The fourth proportional to 12,164.04, 16,790.94 and 7,972.56 is: 11,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.04 : 16,790.94 = 7,972.56 : x
  2. Step 2: Convert to fraction form
    12,164.04/16,790.94 = 7,972.56/x
  3. Step 3: Cross multiply
    12,164.04x = 16,790.94 × 7,972.56
  4. Step 4: Simplify right side
    12,164.04x = 133,866,776.61
  5. Step 5: Solve for x
    x = 133,866,776.61/12,164.04
  6. Step 6: Final answer
    x = 11,005.12

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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.