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Finding the Fourth Proportional to 28,534.26, 42,801.38 and 7,757.76

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Solution

The fourth proportional to 28,534.26, 42,801.38 and 7,757.76 is: 11,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,534.26 : 42,801.38 = 7,757.76 : x
  2. Step 2: Convert to fraction form
    28,534.26/42,801.38 = 7,757.76/x
  3. Step 3: Cross multiply
    28,534.26x = 42,801.38 × 7,757.76
  4. Step 4: Simplify right side
    28,534.26x = 332,042,833.71
  5. Step 5: Solve for x
    x = 332,042,833.71/28,534.26
  6. Step 6: Final answer
    x = 11,636.64

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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.