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Finding the Fourth Proportional to 11,770.49, 16,242.91 and 6,464.97

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Solution

The fourth proportional to 11,770.49, 16,242.91 and 6,464.97 is: 8,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.49 : 16,242.91 = 6,464.97 : x
  2. Step 2: Convert to fraction form
    11,770.49/16,242.91 = 6,464.97/x
  3. Step 3: Cross multiply
    11,770.49x = 16,242.91 × 6,464.97
  4. Step 4: Simplify right side
    11,770.49x = 105,009,909.70
  5. Step 5: Solve for x
    x = 105,009,909.70/11,770.49
  6. Step 6: Final answer
    x = 8,921.45

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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.