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Finding the Fourth Proportional to 8,531.72, 11,773.31 and 4,703.24

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Solution

The fourth proportional to 8,531.72, 11,773.31 and 4,703.24 is: 6,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.72 : 11,773.31 = 4,703.24 : x
  2. Step 2: Convert to fraction form
    8,531.72/11,773.31 = 4,703.24/x
  3. Step 3: Cross multiply
    8,531.72x = 11,773.31 × 4,703.24
  4. Step 4: Simplify right side
    8,531.72x = 55,372,655.42
  5. Step 5: Solve for x
    x = 55,372,655.42/8,531.72
  6. Step 6: Final answer
    x = 6,490.21

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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.