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Finding the Fourth Proportional to 10,537.26, 15,792.93 and 5,340.30

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Solution

The fourth proportional to 10,537.26, 15,792.93 and 5,340.30 is: 8,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.26 : 15,792.93 = 5,340.30 : x
  2. Step 2: Convert to fraction form
    10,537.26/15,792.93 = 5,340.30/x
  3. Step 3: Cross multiply
    10,537.26x = 15,792.93 × 5,340.30
  4. Step 4: Simplify right side
    10,537.26x = 84,338,984.08
  5. Step 5: Solve for x
    x = 84,338,984.08/10,537.26
  6. Step 6: Final answer
    x = 8,003.88

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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.