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Finding the Fourth Proportional to 12,034.36, 16,606.65 and 6,729.13

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Solution

The fourth proportional to 12,034.36, 16,606.65 and 6,729.13 is: 9,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.36 : 16,606.65 = 6,729.13 : x
  2. Step 2: Convert to fraction form
    12,034.36/16,606.65 = 6,729.13/x
  3. Step 3: Cross multiply
    12,034.36x = 16,606.65 × 6,729.13
  4. Step 4: Simplify right side
    12,034.36x = 111,748,306.71
  5. Step 5: Solve for x
    x = 111,748,306.71/12,034.36
  6. Step 6: Final answer
    x = 9,285.77

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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.