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Finding the Fourth Proportional to 6,802.76, 10,194.96 and 5,154.14

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Solution

The fourth proportional to 6,802.76, 10,194.96 and 5,154.14 is: 7,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.76 : 10,194.96 = 5,154.14 : x
  2. Step 2: Convert to fraction form
    6,802.76/10,194.96 = 5,154.14/x
  3. Step 3: Cross multiply
    6,802.76x = 10,194.96 × 5,154.14
  4. Step 4: Simplify right side
    6,802.76x = 52,546,251.13
  5. Step 5: Solve for x
    x = 52,546,251.13/6,802.76
  6. Step 6: Final answer
    x = 7,724.25

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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.