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Finding the Fourth Proportional to 10,003.10, 15,007.30 and 2,983.13

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Solution

The fourth proportional to 10,003.10, 15,007.30 and 2,983.13 is: 4,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.10 : 15,007.30 = 2,983.13 : x
  2. Step 2: Convert to fraction form
    10,003.10/15,007.30 = 2,983.13/x
  3. Step 3: Cross multiply
    10,003.10x = 15,007.30 × 2,983.13
  4. Step 4: Simplify right side
    10,003.10x = 44,768,709.02
  5. Step 5: Solve for x
    x = 44,768,709.02/10,003.10
  6. Step 6: Final answer
    x = 4,475.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.