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Finding the Fourth Proportional to 11,770.15, 16,245.89 and 7,291.36

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Solution

The fourth proportional to 11,770.15, 16,245.89 and 7,291.36 is: 10,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.15 : 16,245.89 = 7,291.36 : x
  2. Step 2: Convert to fraction form
    11,770.15/16,245.89 = 7,291.36/x
  3. Step 3: Cross multiply
    11,770.15x = 16,245.89 × 7,291.36
  4. Step 4: Simplify right side
    11,770.15x = 118,454,632.51
  5. Step 5: Solve for x
    x = 118,454,632.51/11,770.15
  6. Step 6: Final answer
    x = 10,063.99

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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.