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Finding the Fourth Proportional to 8,560.32, 11,814.08 and 5,202.84

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Solution

The fourth proportional to 8,560.32, 11,814.08 and 5,202.84 is: 7,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.32 : 11,814.08 = 5,202.84 : x
  2. Step 2: Convert to fraction form
    8,560.32/11,814.08 = 5,202.84/x
  3. Step 3: Cross multiply
    8,560.32x = 11,814.08 × 5,202.84
  4. Step 4: Simplify right side
    8,560.32x = 61,466,767.99
  5. Step 5: Solve for x
    x = 61,466,767.99/8,560.32
  6. Step 6: Final answer
    x = 7,180.43

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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.