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Finding the Fourth Proportional to 10,633.92, 15,959.31 and 5,953.06

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Solution

The fourth proportional to 10,633.92, 15,959.31 and 5,953.06 is: 8,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.92 : 15,959.31 = 5,953.06 : x
  2. Step 2: Convert to fraction form
    10,633.92/15,959.31 = 5,953.06/x
  3. Step 3: Cross multiply
    10,633.92x = 15,959.31 × 5,953.06
  4. Step 4: Simplify right side
    10,633.92x = 95,006,729.99
  5. Step 5: Solve for x
    x = 95,006,729.99/10,633.92
  6. Step 6: Final answer
    x = 8,934.31

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