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Finding the Fourth Proportional to 8,196, 11,311.44 and 4,659.74

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Solution

The fourth proportional to 8,196, 11,311.44 and 4,659.74 is: 6,430.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 11,311.44 = 4,659.74 : x
  2. Step 2: Convert to fraction form
    8,196/11,311.44 = 4,659.74/x
  3. Step 3: Cross multiply
    8,196x = 11,311.44 × 4,659.74
  4. Step 4: Simplify right side
    8,196x = 52,708,369.43
  5. Step 5: Solve for x
    x = 52,708,369.43/8,196
  6. Step 6: Final answer
    x = 6,430.99

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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.