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Finding the Fourth Proportional to 8,650.68, 11,900.16 and 7,583.64

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Solution

The fourth proportional to 8,650.68, 11,900.16 and 7,583.64 is: 10,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.68 : 11,900.16 = 7,583.64 : x
  2. Step 2: Convert to fraction form
    8,650.68/11,900.16 = 7,583.64/x
  3. Step 3: Cross multiply
    8,650.68x = 11,900.16 × 7,583.64
  4. Step 4: Simplify right side
    8,650.68x = 90,246,529.38
  5. Step 5: Solve for x
    x = 90,246,529.38/8,650.68
  6. Step 6: Final answer
    x = 10,432.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.