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Finding the Fourth Proportional to 7,786.32, 10,690.85 and 7,583.37

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Solution

The fourth proportional to 7,786.32, 10,690.85 and 7,583.37 is: 10,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.32 : 10,690.85 = 7,583.37 : x
  2. Step 2: Convert to fraction form
    7,786.32/10,690.85 = 7,583.37/x
  3. Step 3: Cross multiply
    7,786.32x = 10,690.85 × 7,583.37
  4. Step 4: Simplify right side
    7,786.32x = 81,072,690.12
  5. Step 5: Solve for x
    x = 81,072,690.12/7,786.32
  6. Step 6: Final answer
    x = 10,412.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.