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Finding the Fourth Proportional to 7,887.14, 11,838.90 and 5,809.48

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Solution

The fourth proportional to 7,887.14, 11,838.90 and 5,809.48 is: 8,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.14 : 11,838.90 = 5,809.48 : x
  2. Step 2: Convert to fraction form
    7,887.14/11,838.90 = 5,809.48/x
  3. Step 3: Cross multiply
    7,887.14x = 11,838.90 × 5,809.48
  4. Step 4: Simplify right side
    7,887.14x = 68,777,852.77
  5. Step 5: Solve for x
    x = 68,777,852.77/7,887.14
  6. Step 6: Final answer
    x = 8,720.25

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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.