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Finding the Fourth Proportional to 6,802.22, 10,177.14 and 4,953.90

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Solution

The fourth proportional to 6,802.22, 10,177.14 and 4,953.90 is: 7,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.22 : 10,177.14 = 4,953.90 : x
  2. Step 2: Convert to fraction form
    6,802.22/10,177.14 = 4,953.90/x
  3. Step 3: Cross multiply
    6,802.22x = 10,177.14 × 4,953.90
  4. Step 4: Simplify right side
    6,802.22x = 50,416,533.85
  5. Step 5: Solve for x
    x = 50,416,533.85/6,802.22
  6. Step 6: Final answer
    x = 7,411.78

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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.