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Finding the Fourth Proportional to 8,531.31, 11,773.43 and 4,703.07

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Solution

The fourth proportional to 8,531.31, 11,773.43 and 4,703.07 is: 6,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.31 : 11,773.43 = 4,703.07 : x
  2. Step 2: Convert to fraction form
    8,531.31/11,773.43 = 4,703.07/x
  3. Step 3: Cross multiply
    8,531.31x = 11,773.43 × 4,703.07
  4. Step 4: Simplify right side
    8,531.31x = 55,371,241.91
  5. Step 5: Solve for x
    x = 55,371,241.91/8,531.31
  6. Step 6: Final answer
    x = 6,490.36

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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.