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Finding the Fourth Proportional to 11,770.34, 16,243.02 and 6,465.14

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Solution

The fourth proportional to 11,770.34, 16,243.02 and 6,465.14 is: 8,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.34 : 16,243.02 = 6,465.14 : x
  2. Step 2: Convert to fraction form
    11,770.34/16,243.02 = 6,465.14/x
  3. Step 3: Cross multiply
    11,770.34x = 16,243.02 × 6,465.14
  4. Step 4: Simplify right side
    11,770.34x = 105,013,398.32
  5. Step 5: Solve for x
    x = 105,013,398.32/11,770.34
  6. Step 6: Final answer
    x = 8,921.87

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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.