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Finding the Fourth Proportional to 7,593.16, 11,396.86 and 4,677.16

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Solution

The fourth proportional to 7,593.16, 11,396.86 and 4,677.16 is: 7,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,593.16 : 11,396.86 = 4,677.16 : x
  2. Step 2: Convert to fraction form
    7,593.16/11,396.86 = 4,677.16/x
  3. Step 3: Cross multiply
    7,593.16x = 11,396.86 × 4,677.16
  4. Step 4: Simplify right side
    7,593.16x = 53,304,937.72
  5. Step 5: Solve for x
    x = 53,304,937.72/7,593.16
  6. Step 6: Final answer
    x = 7,020.13

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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.