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Finding the Fourth Proportional to 8,322.84, 11,485.17 and 4,545.83

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Solution

The fourth proportional to 8,322.84, 11,485.17 and 4,545.83 is: 6,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.84 : 11,485.17 = 4,545.83 : x
  2. Step 2: Convert to fraction form
    8,322.84/11,485.17 = 4,545.83/x
  3. Step 3: Cross multiply
    8,322.84x = 11,485.17 × 4,545.83
  4. Step 4: Simplify right side
    8,322.84x = 52,209,589.74
  5. Step 5: Solve for x
    x = 52,209,589.74/8,322.84
  6. Step 6: Final answer
    x = 6,273.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.