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Finding the Fourth Proportional to 8,035.04, 12,050.13 and 4,747.25

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Solution

The fourth proportional to 8,035.04, 12,050.13 and 4,747.25 is: 7,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.04 : 12,050.13 = 4,747.25 : x
  2. Step 2: Convert to fraction form
    8,035.04/12,050.13 = 4,747.25/x
  3. Step 3: Cross multiply
    8,035.04x = 12,050.13 × 4,747.25
  4. Step 4: Simplify right side
    8,035.04x = 57,204,979.64
  5. Step 5: Solve for x
    x = 57,204,979.64/8,035.04
  6. Step 6: Final answer
    x = 7,119.44

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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.