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Finding the Fourth Proportional to 8,322.87, 11,485.38 and 4,545.93

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Solution

The fourth proportional to 8,322.87, 11,485.38 and 4,545.93 is: 6,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.87 : 11,485.38 = 4,545.93 : x
  2. Step 2: Convert to fraction form
    8,322.87/11,485.38 = 4,545.93/x
  3. Step 3: Cross multiply
    8,322.87x = 11,485.38 × 4,545.93
  4. Step 4: Simplify right side
    8,322.87x = 52,211,733.50
  5. Step 5: Solve for x
    x = 52,211,733.50/8,322.87
  6. Step 6: Final answer
    x = 6,273.28

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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.