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Finding the Fourth Proportional to 8,614.40, 11,887.50 and 5,077.82

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Solution

The fourth proportional to 8,614.40, 11,887.50 and 5,077.82 is: 7,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.40 : 11,887.50 = 5,077.82 : x
  2. Step 2: Convert to fraction form
    8,614.40/11,887.50 = 5,077.82/x
  3. Step 3: Cross multiply
    8,614.40x = 11,887.50 × 5,077.82
  4. Step 4: Simplify right side
    8,614.40x = 60,362,585.25
  5. Step 5: Solve for x
    x = 60,362,585.25/8,614.40
  6. Step 6: Final answer
    x = 7,007.17

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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.