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Finding the Fourth Proportional to 8,380.83, 11,564.67 and 5,023.56

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Solution

The fourth proportional to 8,380.83, 11,564.67 and 5,023.56 is: 6,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.83 : 11,564.67 = 5,023.56 : x
  2. Step 2: Convert to fraction form
    8,380.83/11,564.67 = 5,023.56/x
  3. Step 3: Cross multiply
    8,380.83x = 11,564.67 × 5,023.56
  4. Step 4: Simplify right side
    8,380.83x = 58,095,813.63
  5. Step 5: Solve for x
    x = 58,095,813.63/8,380.83
  6. Step 6: Final answer
    x = 6,931.99

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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.