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Finding the Fourth Proportional to 8,311.88, 11,474.16 and 5,288.24

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Solution

The fourth proportional to 8,311.88, 11,474.16 and 5,288.24 is: 7,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.88 : 11,474.16 = 5,288.24 : x
  2. Step 2: Convert to fraction form
    8,311.88/11,474.16 = 5,288.24/x
  3. Step 3: Cross multiply
    8,311.88x = 11,474.16 × 5,288.24
  4. Step 4: Simplify right side
    8,311.88x = 60,678,111.88
  5. Step 5: Solve for x
    x = 60,678,111.88/8,311.88
  6. Step 6: Final answer
    x = 7,300.17

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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.