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Finding the Fourth Proportional to 11,805.66, 16,291.18 and 6,499.46

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Solution

The fourth proportional to 11,805.66, 16,291.18 and 6,499.46 is: 8,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.66 : 16,291.18 = 6,499.46 : x
  2. Step 2: Convert to fraction form
    11,805.66/16,291.18 = 6,499.46/x
  3. Step 3: Cross multiply
    11,805.66x = 16,291.18 × 6,499.46
  4. Step 4: Simplify right side
    11,805.66x = 105,883,872.76
  5. Step 5: Solve for x
    x = 105,883,872.76/11,805.66
  6. Step 6: Final answer
    x = 8,968.91

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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.