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Finding the Fourth Proportional to 7,397, 10,207.86 and 4,085

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Solution

The fourth proportional to 7,397, 10,207.86 and 4,085 is: 5,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397 : 10,207.86 = 4,085 : x
  2. Step 2: Convert to fraction form
    7,397/10,207.86 = 4,085/x
  3. Step 3: Cross multiply
    7,397x = 10,207.86 × 4,085
  4. Step 4: Simplify right side
    7,397x = 41,699,108.10
  5. Step 5: Solve for x
    x = 41,699,108.10/7,397
  6. Step 6: Final answer
    x = 5,637.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.