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Finding the Fourth Proportional to 7,859.98, 10,845.36 and 5,769.10

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Solution

The fourth proportional to 7,859.98, 10,845.36 and 5,769.10 is: 7,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.98 : 10,845.36 = 5,769.10 : x
  2. Step 2: Convert to fraction form
    7,859.98/10,845.36 = 5,769.10/x
  3. Step 3: Cross multiply
    7,859.98x = 10,845.36 × 5,769.10
  4. Step 4: Simplify right side
    7,859.98x = 62,567,966.38
  5. Step 5: Solve for x
    x = 62,567,966.38/7,859.98
  6. Step 6: Final answer
    x = 7,960.32

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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.