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Finding the Fourth Proportional to 7,678.62, 10,593.36 and 4,845.03

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Solution

The fourth proportional to 7,678.62, 10,593.36 and 4,845.03 is: 6,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.62 : 10,593.36 = 4,845.03 : x
  2. Step 2: Convert to fraction form
    7,678.62/10,593.36 = 4,845.03/x
  3. Step 3: Cross multiply
    7,678.62x = 10,593.36 × 4,845.03
  4. Step 4: Simplify right side
    7,678.62x = 51,325,147.00
  5. Step 5: Solve for x
    x = 51,325,147.00/7,678.62
  6. Step 6: Final answer
    x = 6,684.16

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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.