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Finding the Fourth Proportional to 8,535.68, 12,803.16 and 2,696.48

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Solution

The fourth proportional to 8,535.68, 12,803.16 and 2,696.48 is: 4,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.68 : 12,803.16 = 2,696.48 : x
  2. Step 2: Convert to fraction form
    8,535.68/12,803.16 = 2,696.48/x
  3. Step 3: Cross multiply
    8,535.68x = 12,803.16 × 2,696.48
  4. Step 4: Simplify right side
    8,535.68x = 34,523,464.88
  5. Step 5: Solve for x
    x = 34,523,464.88/8,535.68
  6. Step 6: Final answer
    x = 4,044.61

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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.