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Finding the Fourth Proportional to 8,216.30, 12,332.66 and 5,584.01

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Solution

The fourth proportional to 8,216.30, 12,332.66 and 5,584.01 is: 8,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.30 : 12,332.66 = 5,584.01 : x
  2. Step 2: Convert to fraction form
    8,216.30/12,332.66 = 5,584.01/x
  3. Step 3: Cross multiply
    8,216.30x = 12,332.66 × 5,584.01
  4. Step 4: Simplify right side
    8,216.30x = 68,865,607.18
  5. Step 5: Solve for x
    x = 68,865,607.18/8,216.30
  6. Step 6: Final answer
    x = 8,381.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.