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Finding the Fourth Proportional to 28,561.96, 42,841.66 and 7,785.44

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Solution

The fourth proportional to 28,561.96, 42,841.66 and 7,785.44 is: 11,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,561.96 : 42,841.66 = 7,785.44 : x
  2. Step 2: Convert to fraction form
    28,561.96/42,841.66 = 7,785.44/x
  3. Step 3: Cross multiply
    28,561.96x = 42,841.66 × 7,785.44
  4. Step 4: Simplify right side
    28,561.96x = 333,541,173.43
  5. Step 5: Solve for x
    x = 333,541,173.43/28,561.96
  6. Step 6: Final answer
    x = 11,677.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.