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Finding the Fourth Proportional to 11,770.29, 16,234.47 and 7,461.90

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Solution

The fourth proportional to 11,770.29, 16,234.47 and 7,461.90 is: 10,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.29 : 16,234.47 = 7,461.90 : x
  2. Step 2: Convert to fraction form
    11,770.29/16,234.47 = 7,461.90/x
  3. Step 3: Cross multiply
    11,770.29x = 16,234.47 × 7,461.90
  4. Step 4: Simplify right side
    11,770.29x = 121,139,991.69
  5. Step 5: Solve for x
    x = 121,139,991.69/11,770.29
  6. Step 6: Final answer
    x = 10,292.01

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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.