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Finding the Fourth Proportional to 10,650.78, 14,697.90 and 5,935.02

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Solution

The fourth proportional to 10,650.78, 14,697.90 and 5,935.02 is: 8,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.78 : 14,697.90 = 5,935.02 : x
  2. Step 2: Convert to fraction form
    10,650.78/14,697.90 = 5,935.02/x
  3. Step 3: Cross multiply
    10,650.78x = 14,697.90 × 5,935.02
  4. Step 4: Simplify right side
    10,650.78x = 87,232,330.46
  5. Step 5: Solve for x
    x = 87,232,330.46/10,650.78
  6. Step 6: Final answer
    x = 8,190.23

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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.