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Finding the Fourth Proportional to 7,892.96, 11,838.96 and 2,962.17

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Solution

The fourth proportional to 7,892.96, 11,838.96 and 2,962.17 is: 4,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.96 : 11,838.96 = 2,962.17 : x
  2. Step 2: Convert to fraction form
    7,892.96/11,838.96 = 2,962.17/x
  3. Step 3: Cross multiply
    7,892.96x = 11,838.96 × 2,962.17
  4. Step 4: Simplify right side
    7,892.96x = 35,069,012.14
  5. Step 5: Solve for x
    x = 35,069,012.14/7,892.96
  6. Step 6: Final answer
    x = 4,443.08

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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.