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Finding the Fourth Proportional to 28,287.69, 42,431.52 and 7,227.77

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Solution

The fourth proportional to 28,287.69, 42,431.52 and 7,227.77 is: 10,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.69 : 42,431.52 = 7,227.77 : x
  2. Step 2: Convert to fraction form
    28,287.69/42,431.52 = 7,227.77/x
  3. Step 3: Cross multiply
    28,287.69x = 42,431.52 × 7,227.77
  4. Step 4: Simplify right side
    28,287.69x = 306,685,267.31
  5. Step 5: Solve for x
    x = 306,685,267.31/28,287.69
  6. Step 6: Final answer
    x = 10,841.65

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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.