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Finding the Fourth Proportional to 10,792.25, 14,892.24 and 7,961.14

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Solution

The fourth proportional to 10,792.25, 14,892.24 and 7,961.14 is: 10,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.25 : 14,892.24 = 7,961.14 : x
  2. Step 2: Convert to fraction form
    10,792.25/14,892.24 = 7,961.14/x
  3. Step 3: Cross multiply
    10,792.25x = 14,892.24 × 7,961.14
  4. Step 4: Simplify right side
    10,792.25x = 118,559,207.55
  5. Step 5: Solve for x
    x = 118,559,207.55/10,792.25
  6. Step 6: Final answer
    x = 10,985.59

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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.