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Finding the Fourth Proportional to 11,641.23, 16,064.90 and 6,336.08

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Solution

The fourth proportional to 11,641.23, 16,064.90 and 6,336.08 is: 8,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.23 : 16,064.90 = 6,336.08 : x
  2. Step 2: Convert to fraction form
    11,641.23/16,064.90 = 6,336.08/x
  3. Step 3: Cross multiply
    11,641.23x = 16,064.90 × 6,336.08
  4. Step 4: Simplify right side
    11,641.23x = 101,788,459.91
  5. Step 5: Solve for x
    x = 101,788,459.91/11,641.23
  6. Step 6: Final answer
    x = 8,743.79

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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.