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Finding the Fourth Proportional to 8,322.98, 11,485.20 and 4,545.37

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Solution

The fourth proportional to 8,322.98, 11,485.20 and 4,545.37 is: 6,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.98 : 11,485.20 = 4,545.37 : x
  2. Step 2: Convert to fraction form
    8,322.98/11,485.20 = 4,545.37/x
  3. Step 3: Cross multiply
    8,322.98x = 11,485.20 × 4,545.37
  4. Step 4: Simplify right side
    8,322.98x = 52,204,483.52
  5. Step 5: Solve for x
    x = 52,204,483.52/8,322.98
  6. Step 6: Final answer
    x = 6,272.33

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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.