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Finding the Fourth Proportional to 10,152.92, 14,006.54 and 5,959.32

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Solution

The fourth proportional to 10,152.92, 14,006.54 and 5,959.32 is: 8,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.92 : 14,006.54 = 5,959.32 : x
  2. Step 2: Convert to fraction form
    10,152.92/14,006.54 = 5,959.32/x
  3. Step 3: Cross multiply
    10,152.92x = 14,006.54 × 5,959.32
  4. Step 4: Simplify right side
    10,152.92x = 83,469,453.95
  5. Step 5: Solve for x
    x = 83,469,453.95/10,152.92
  6. Step 6: Final answer
    x = 8,221.23

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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.