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Finding the Fourth Proportional to 12,073.10, 16,662.44 and 6,769.02

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Solution

The fourth proportional to 12,073.10, 16,662.44 and 6,769.02 is: 9,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,073.10 : 16,662.44 = 6,769.02 : x
  2. Step 2: Convert to fraction form
    12,073.10/16,662.44 = 6,769.02/x
  3. Step 3: Cross multiply
    12,073.10x = 16,662.44 × 6,769.02
  4. Step 4: Simplify right side
    12,073.10x = 112,788,389.61
  5. Step 5: Solve for x
    x = 112,788,389.61/12,073.10
  6. Step 6: Final answer
    x = 9,342.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.