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Finding the Fourth Proportional to 28,537.56, 42,806.28 and 7,761

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Solution

The fourth proportional to 28,537.56, 42,806.28 and 7,761 is: 11,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,537.56 : 42,806.28 = 7,761 : x
  2. Step 2: Convert to fraction form
    28,537.56/42,806.28 = 7,761/x
  3. Step 3: Cross multiply
    28,537.56x = 42,806.28 × 7,761
  4. Step 4: Simplify right side
    28,537.56x = 332,219,539.08
  5. Step 5: Solve for x
    x = 332,219,539.08/28,537.56
  6. Step 6: Final answer
    x = 11,641.48

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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.