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Finding the Fourth Proportional to 12,522.29, 17,280.77 and 7,806.56

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Solution

The fourth proportional to 12,522.29, 17,280.77 and 7,806.56 is: 10,773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.29 : 17,280.77 = 7,806.56 : x
  2. Step 2: Convert to fraction form
    12,522.29/17,280.77 = 7,806.56/x
  3. Step 3: Cross multiply
    12,522.29x = 17,280.77 × 7,806.56
  4. Step 4: Simplify right side
    12,522.29x = 134,903,372.02
  5. Step 5: Solve for x
    x = 134,903,372.02/12,522.29
  6. Step 6: Final answer
    x = 10,773.06

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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.