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Finding the Fourth Proportional to 7,049.16, 10,572.89 and 1,855.44

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Solution

The fourth proportional to 7,049.16, 10,572.89 and 1,855.44 is: 2,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.16 : 10,572.89 = 1,855.44 : x
  2. Step 2: Convert to fraction form
    7,049.16/10,572.89 = 1,855.44/x
  3. Step 3: Cross multiply
    7,049.16x = 10,572.89 × 1,855.44
  4. Step 4: Simplify right side
    7,049.16x = 19,617,363.02
  5. Step 5: Solve for x
    x = 19,617,363.02/7,049.16
  6. Step 6: Final answer
    x = 2,782.94

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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.