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Finding the Fourth Proportional to 7,887.85, 11,827.64 and 2,340.43

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Solution

The fourth proportional to 7,887.85, 11,827.64 and 2,340.43 is: 3,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.85 : 11,827.64 = 2,340.43 : x
  2. Step 2: Convert to fraction form
    7,887.85/11,827.64 = 2,340.43/x
  3. Step 3: Cross multiply
    7,887.85x = 11,827.64 × 2,340.43
  4. Step 4: Simplify right side
    7,887.85x = 27,681,739.77
  5. Step 5: Solve for x
    x = 27,681,739.77/7,887.85
  6. Step 6: Final answer
    x = 3,509.42

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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.