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Finding the Fourth Proportional to 10,024.26, 15,035.93 and 4,755.41

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Solution

The fourth proportional to 10,024.26, 15,035.93 and 4,755.41 is: 7,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.26 : 15,035.93 = 4,755.41 : x
  2. Step 2: Convert to fraction form
    10,024.26/15,035.93 = 4,755.41/x
  3. Step 3: Cross multiply
    10,024.26x = 15,035.93 × 4,755.41
  4. Step 4: Simplify right side
    10,024.26x = 71,501,987.14
  5. Step 5: Solve for x
    x = 71,501,987.14/10,024.26
  6. Step 6: Final answer
    x = 7,132.90

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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.