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Finding the Fourth Proportional to 8,223.65, 12,330.52 and 3,220.06

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Solution

The fourth proportional to 8,223.65, 12,330.52 and 3,220.06 is: 4,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.65 : 12,330.52 = 3,220.06 : x
  2. Step 2: Convert to fraction form
    8,223.65/12,330.52 = 3,220.06/x
  3. Step 3: Cross multiply
    8,223.65x = 12,330.52 × 3,220.06
  4. Step 4: Simplify right side
    8,223.65x = 39,705,014.23
  5. Step 5: Solve for x
    x = 39,705,014.23/8,223.65
  6. Step 6: Final answer
    x = 4,828.15

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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.