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Finding the Fourth Proportional to 8,357, 11,529.48 and 5,525.72

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Solution

The fourth proportional to 8,357, 11,529.48 and 5,525.72 is: 7,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357 : 11,529.48 = 5,525.72 : x
  2. Step 2: Convert to fraction form
    8,357/11,529.48 = 5,525.72/x
  3. Step 3: Cross multiply
    8,357x = 11,529.48 × 5,525.72
  4. Step 4: Simplify right side
    8,357x = 63,708,678.23
  5. Step 5: Solve for x
    x = 63,708,678.23/8,357
  6. Step 6: Final answer
    x = 7,623.39

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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.