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Finding the Fourth Proportional to 11,363.73, 15,682.68 and 7,584.50

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Solution

The fourth proportional to 11,363.73, 15,682.68 and 7,584.50 is: 10,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.73 : 15,682.68 = 7,584.50 : x
  2. Step 2: Convert to fraction form
    11,363.73/15,682.68 = 7,584.50/x
  3. Step 3: Cross multiply
    11,363.73x = 15,682.68 × 7,584.50
  4. Step 4: Simplify right side
    11,363.73x = 118,945,325.67
  5. Step 5: Solve for x
    x = 118,945,325.67/11,363.73
  6. Step 6: Final answer
    x = 10,467.11

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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.