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Finding the Fourth Proportional to 10,024.74, 15,037.29 and 3,003.12

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Solution

The fourth proportional to 10,024.74, 15,037.29 and 3,003.12 is: 4,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.74 : 15,037.29 = 3,003.12 : x
  2. Step 2: Convert to fraction form
    10,024.74/15,037.29 = 3,003.12/x
  3. Step 3: Cross multiply
    10,024.74x = 15,037.29 × 3,003.12
  4. Step 4: Simplify right side
    10,024.74x = 45,158,786.34
  5. Step 5: Solve for x
    x = 45,158,786.34/10,024.74
  6. Step 6: Final answer
    x = 4,504.73

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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.