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Finding the Fourth Proportional to 8,154.30, 12,223.08 and 3,221.94

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Solution

The fourth proportional to 8,154.30, 12,223.08 and 3,221.94 is: 4,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.30 : 12,223.08 = 3,221.94 : x
  2. Step 2: Convert to fraction form
    8,154.30/12,223.08 = 3,221.94/x
  3. Step 3: Cross multiply
    8,154.30x = 12,223.08 × 3,221.94
  4. Step 4: Simplify right side
    8,154.30x = 39,382,030.38
  5. Step 5: Solve for x
    x = 39,382,030.38/8,154.30
  6. Step 6: Final answer
    x = 4,829.60

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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.