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Finding the Fourth Proportional to 10,672.94, 16,009.39 and 5,932.11

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Solution

The fourth proportional to 10,672.94, 16,009.39 and 5,932.11 is: 8,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.94 : 16,009.39 = 5,932.11 : x
  2. Step 2: Convert to fraction form
    10,672.94/16,009.39 = 5,932.11/x
  3. Step 3: Cross multiply
    10,672.94x = 16,009.39 × 5,932.11
  4. Step 4: Simplify right side
    10,672.94x = 94,969,462.51
  5. Step 5: Solve for x
    x = 94,969,462.51/10,672.94
  6. Step 6: Final answer
    x = 8,898.15

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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.