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Finding the Fourth Proportional to 10,911.81, 15,061.92 and 6,436.83

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Solution

The fourth proportional to 10,911.81, 15,061.92 and 6,436.83 is: 8,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.81 : 15,061.92 = 6,436.83 : x
  2. Step 2: Convert to fraction form
    10,911.81/15,061.92 = 6,436.83/x
  3. Step 3: Cross multiply
    10,911.81x = 15,061.92 × 6,436.83
  4. Step 4: Simplify right side
    10,911.81x = 96,951,018.51
  5. Step 5: Solve for x
    x = 96,951,018.51/10,911.81
  6. Step 6: Final answer
    x = 8,884.96

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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.