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Finding the Fourth Proportional to 7,601, 11,392.14 and 5,397.80

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Solution

The fourth proportional to 7,601, 11,392.14 and 5,397.80 is: 8,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601 : 11,392.14 = 5,397.80 : x
  2. Step 2: Convert to fraction form
    7,601/11,392.14 = 5,397.80/x
  3. Step 3: Cross multiply
    7,601x = 11,392.14 × 5,397.80
  4. Step 4: Simplify right side
    7,601x = 61,492,493.29
  5. Step 5: Solve for x
    x = 61,492,493.29/7,601
  6. Step 6: Final answer
    x = 8,090.05

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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.