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Finding the Fourth Proportional to 10,913.11, 16,365 and 5,362.99

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Solution

The fourth proportional to 10,913.11, 16,365 and 5,362.99 is: 8,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.11 : 16,365 = 5,362.99 : x
  2. Step 2: Convert to fraction form
    10,913.11/16,365 = 5,362.99/x
  3. Step 3: Cross multiply
    10,913.11x = 16,365 × 5,362.99
  4. Step 4: Simplify right side
    10,913.11x = 87,765,331.35
  5. Step 5: Solve for x
    x = 87,765,331.35/10,913.11
  6. Step 6: Final answer
    x = 8,042.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.