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Finding the Fourth Proportional to 11,623.72, 16,042.10 and 6,908

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Solution

The fourth proportional to 11,623.72, 16,042.10 and 6,908 is: 9,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.72 : 16,042.10 = 6,908 : x
  2. Step 2: Convert to fraction form
    11,623.72/16,042.10 = 6,908/x
  3. Step 3: Cross multiply
    11,623.72x = 16,042.10 × 6,908
  4. Step 4: Simplify right side
    11,623.72x = 110,818,826.80
  5. Step 5: Solve for x
    x = 110,818,826.80/11,623.72
  6. Step 6: Final answer
    x = 9,533.85

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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.