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Finding the Fourth Proportional to 6,792.16, 10,187.68 and 4,809.60

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Solution

The fourth proportional to 6,792.16, 10,187.68 and 4,809.60 is: 7,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.16 : 10,187.68 = 4,809.60 : x
  2. Step 2: Convert to fraction form
    6,792.16/10,187.68 = 4,809.60/x
  3. Step 3: Cross multiply
    6,792.16x = 10,187.68 × 4,809.60
  4. Step 4: Simplify right side
    6,792.16x = 48,998,665.73
  5. Step 5: Solve for x
    x = 48,998,665.73/6,792.16
  6. Step 6: Final answer
    x = 7,214.00

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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.