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Finding the Fourth Proportional to 8,349.74, 11,524.53 and 5,205.32

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Solution

The fourth proportional to 8,349.74, 11,524.53 and 5,205.32 is: 7,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.74 : 11,524.53 = 5,205.32 : x
  2. Step 2: Convert to fraction form
    8,349.74/11,524.53 = 5,205.32/x
  3. Step 3: Cross multiply
    8,349.74x = 11,524.53 × 5,205.32
  4. Step 4: Simplify right side
    8,349.74x = 59,988,782.85
  5. Step 5: Solve for x
    x = 59,988,782.85/8,349.74
  6. Step 6: Final answer
    x = 7,184.51

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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.