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Finding the Fourth Proportional to 10,003.96, 15,007.38 and 3,076.84

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Solution

The fourth proportional to 10,003.96, 15,007.38 and 3,076.84 is: 4,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.96 : 15,007.38 = 3,076.84 : x
  2. Step 2: Convert to fraction form
    10,003.96/15,007.38 = 3,076.84/x
  3. Step 3: Cross multiply
    10,003.96x = 15,007.38 × 3,076.84
  4. Step 4: Simplify right side
    10,003.96x = 46,175,307.08
  5. Step 5: Solve for x
    x = 46,175,307.08/10,003.96
  6. Step 6: Final answer
    x = 4,615.70

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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.