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Finding the Fourth Proportional to 7,806.90, 10,773.59 and 4,270.13

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Solution

The fourth proportional to 7,806.90, 10,773.59 and 4,270.13 is: 5,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.90 : 10,773.59 = 4,270.13 : x
  2. Step 2: Convert to fraction form
    7,806.90/10,773.59 = 4,270.13/x
  3. Step 3: Cross multiply
    7,806.90x = 10,773.59 × 4,270.13
  4. Step 4: Simplify right side
    7,806.90x = 46,004,629.87
  5. Step 5: Solve for x
    x = 46,004,629.87/7,806.90
  6. Step 6: Final answer
    x = 5,892.82

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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.