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Finding the Fourth Proportional to 7,257.65, 10,891.34 and 3,098.63

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Solution

The fourth proportional to 7,257.65, 10,891.34 and 3,098.63 is: 4,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.65 : 10,891.34 = 3,098.63 : x
  2. Step 2: Convert to fraction form
    7,257.65/10,891.34 = 3,098.63/x
  3. Step 3: Cross multiply
    7,257.65x = 10,891.34 × 3,098.63
  4. Step 4: Simplify right side
    7,257.65x = 33,748,216.87
  5. Step 5: Solve for x
    x = 33,748,216.87/7,257.65
  6. Step 6: Final answer
    x = 4,650.02

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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.