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Finding the Fourth Proportional to 8,037.99, 12,042 and 4,741.29

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Solution

The fourth proportional to 8,037.99, 12,042 and 4,741.29 is: 7,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.99 : 12,042 = 4,741.29 : x
  2. Step 2: Convert to fraction form
    8,037.99/12,042 = 4,741.29/x
  3. Step 3: Cross multiply
    8,037.99x = 12,042 × 4,741.29
  4. Step 4: Simplify right side
    8,037.99x = 57,094,614.18
  5. Step 5: Solve for x
    x = 57,094,614.18/8,037.99
  6. Step 6: Final answer
    x = 7,103.10

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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.