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Finding the Fourth Proportional to 11,726.65, 16,182.61 and 6,421.46

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Solution

The fourth proportional to 11,726.65, 16,182.61 and 6,421.46 is: 8,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.65 : 16,182.61 = 6,421.46 : x
  2. Step 2: Convert to fraction form
    11,726.65/16,182.61 = 6,421.46/x
  3. Step 3: Cross multiply
    11,726.65x = 16,182.61 × 6,421.46
  4. Step 4: Simplify right side
    11,726.65x = 103,915,982.81
  5. Step 5: Solve for x
    x = 103,915,982.81/11,726.65
  6. Step 6: Final answer
    x = 8,861.52

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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.