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Finding the Fourth Proportional to 10,003.98, 15,007.41 and 3,076.86

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Solution

The fourth proportional to 10,003.98, 15,007.41 and 3,076.86 is: 4,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.98 : 15,007.41 = 3,076.86 : x
  2. Step 2: Convert to fraction form
    10,003.98/15,007.41 = 3,076.86/x
  3. Step 3: Cross multiply
    10,003.98x = 15,007.41 × 3,076.86
  4. Step 4: Simplify right side
    10,003.98x = 46,175,699.53
  5. Step 5: Solve for x
    x = 46,175,699.53/10,003.98
  6. Step 6: Final answer
    x = 4,615.73

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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.