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Finding the Fourth Proportional to 7,806.58, 10,773.24 and 4,270.02

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Solution

The fourth proportional to 7,806.58, 10,773.24 and 4,270.02 is: 5,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.58 : 10,773.24 = 4,270.02 : x
  2. Step 2: Convert to fraction form
    7,806.58/10,773.24 = 4,270.02/x
  3. Step 3: Cross multiply
    7,806.58x = 10,773.24 × 4,270.02
  4. Step 4: Simplify right side
    7,806.58x = 46,001,950.26
  5. Step 5: Solve for x
    x = 46,001,950.26/7,806.58
  6. Step 6: Final answer
    x = 5,892.71

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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.