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Finding the Fourth Proportional to 11,770.93, 16,244.18 and 6,466.24

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Solution

The fourth proportional to 11,770.93, 16,244.18 and 6,466.24 is: 8,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.93 : 16,244.18 = 6,466.24 : x
  2. Step 2: Convert to fraction form
    11,770.93/16,244.18 = 6,466.24/x
  3. Step 3: Cross multiply
    11,770.93x = 16,244.18 × 6,466.24
  4. Step 4: Simplify right side
    11,770.93x = 105,038,766.48
  5. Step 5: Solve for x
    x = 105,038,766.48/11,770.93
  6. Step 6: Final answer
    x = 8,923.57

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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.