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Finding the Fourth Proportional to 8,505.76, 11,737.43 and 4,728.71

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Solution

The fourth proportional to 8,505.76, 11,737.43 and 4,728.71 is: 6,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.76 : 11,737.43 = 4,728.71 : x
  2. Step 2: Convert to fraction form
    8,505.76/11,737.43 = 4,728.71/x
  3. Step 3: Cross multiply
    8,505.76x = 11,737.43 × 4,728.71
  4. Step 4: Simplify right side
    8,505.76x = 55,502,902.62
  5. Step 5: Solve for x
    x = 55,502,902.62/8,505.76
  6. Step 6: Final answer
    x = 6,525.33

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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.