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Finding the Fourth Proportional to 10,573.90, 15,839.32 and 5,010.38

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Solution

The fourth proportional to 10,573.90, 15,839.32 and 5,010.38 is: 7,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.90 : 15,839.32 = 5,010.38 : x
  2. Step 2: Convert to fraction form
    10,573.90/15,839.32 = 5,010.38/x
  3. Step 3: Cross multiply
    10,573.90x = 15,839.32 × 5,010.38
  4. Step 4: Simplify right side
    10,573.90x = 79,361,012.14
  5. Step 5: Solve for x
    x = 79,361,012.14/10,573.90
  6. Step 6: Final answer
    x = 7,505.37

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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.