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Finding the Fourth Proportional to 11,363.59, 15,682.31 and 6,584.05

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Solution

The fourth proportional to 11,363.59, 15,682.31 and 6,584.05 is: 9,086.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.59 : 15,682.31 = 6,584.05 : x
  2. Step 2: Convert to fraction form
    11,363.59/15,682.31 = 6,584.05/x
  3. Step 3: Cross multiply
    11,363.59x = 15,682.31 × 6,584.05
  4. Step 4: Simplify right side
    11,363.59x = 103,253,113.16
  5. Step 5: Solve for x
    x = 103,253,113.16/11,363.59
  6. Step 6: Final answer
    x = 9,086.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.