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Finding the Fourth Proportional to 6,821.60, 10,221.47 and 6,165.50

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Solution

The fourth proportional to 6,821.60, 10,221.47 and 6,165.50 is: 9,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.60 : 10,221.47 = 6,165.50 : x
  2. Step 2: Convert to fraction form
    6,821.60/10,221.47 = 6,165.50/x
  3. Step 3: Cross multiply
    6,821.60x = 10,221.47 × 6,165.50
  4. Step 4: Simplify right side
    6,821.60x = 63,020,391.35
  5. Step 5: Solve for x
    x = 63,020,391.35/6,821.60
  6. Step 6: Final answer
    x = 9,238.37

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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.