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Finding the Fourth Proportional to 10,502.70, 15,739.26 and 5,824.86

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Solution

The fourth proportional to 10,502.70, 15,739.26 and 5,824.86 is: 8,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.70 : 15,739.26 = 5,824.86 : x
  2. Step 2: Convert to fraction form
    10,502.70/15,739.26 = 5,824.86/x
  3. Step 3: Cross multiply
    10,502.70x = 15,739.26 × 5,824.86
  4. Step 4: Simplify right side
    10,502.70x = 91,678,986.00
  5. Step 5: Solve for x
    x = 91,678,986.00/10,502.70
  6. Step 6: Final answer
    x = 8,729.09

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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.