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Finding the Fourth Proportional to 7,802.20, 10,768.04 and 4,446.21

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Solution

The fourth proportional to 7,802.20, 10,768.04 and 4,446.21 is: 6,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.20 : 10,768.04 = 4,446.21 : x
  2. Step 2: Convert to fraction form
    7,802.20/10,768.04 = 4,446.21/x
  3. Step 3: Cross multiply
    7,802.20x = 10,768.04 × 4,446.21
  4. Step 4: Simplify right side
    7,802.20x = 47,876,967.13
  5. Step 5: Solve for x
    x = 47,876,967.13/7,802.20
  6. Step 6: Final answer
    x = 6,136.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.