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Finding the Fourth Proportional to 7,887.43, 11,830.74 and 2,340.82

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Solution

The fourth proportional to 7,887.43, 11,830.74 and 2,340.82 is: 3,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.43 : 11,830.74 = 2,340.82 : x
  2. Step 2: Convert to fraction form
    7,887.43/11,830.74 = 2,340.82/x
  3. Step 3: Cross multiply
    7,887.43x = 11,830.74 × 2,340.82
  4. Step 4: Simplify right side
    7,887.43x = 27,693,632.81
  5. Step 5: Solve for x
    x = 27,693,632.81/7,887.43
  6. Step 6: Final answer
    x = 3,511.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.