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Finding the Fourth Proportional to 8,220.49, 12,320.47 and 3,535

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Solution

The fourth proportional to 8,220.49, 12,320.47 and 3,535 is: 5,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.49 : 12,320.47 = 3,535 : x
  2. Step 2: Convert to fraction form
    8,220.49/12,320.47 = 3,535/x
  3. Step 3: Cross multiply
    8,220.49x = 12,320.47 × 3,535
  4. Step 4: Simplify right side
    8,220.49x = 43,552,861.45
  5. Step 5: Solve for x
    x = 43,552,861.45/8,220.49
  6. Step 6: Final answer
    x = 5,298.09

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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.