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Finding the Fourth Proportional to 8,832.24, 13,186.80 and 7,782.48

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Solution

The fourth proportional to 8,832.24, 13,186.80 and 7,782.48 is: 11,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.24 : 13,186.80 = 7,782.48 : x
  2. Step 2: Convert to fraction form
    8,832.24/13,186.80 = 7,782.48/x
  3. Step 3: Cross multiply
    8,832.24x = 13,186.80 × 7,782.48
  4. Step 4: Simplify right side
    8,832.24x = 102,626,007.26
  5. Step 5: Solve for x
    x = 102,626,007.26/8,832.24
  6. Step 6: Final answer
    x = 11,619.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.