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Finding the Fourth Proportional to 8,310.50, 11,468.03 and 4,773.71

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Solution

The fourth proportional to 8,310.50, 11,468.03 and 4,773.71 is: 6,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.50 : 11,468.03 = 4,773.71 : x
  2. Step 2: Convert to fraction form
    8,310.50/11,468.03 = 4,773.71/x
  3. Step 3: Cross multiply
    8,310.50x = 11,468.03 × 4,773.71
  4. Step 4: Simplify right side
    8,310.50x = 54,745,090.10
  5. Step 5: Solve for x
    x = 54,745,090.10/8,310.50
  6. Step 6: Final answer
    x = 6,587.46

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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.