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Finding the Fourth Proportional to 7,892.88, 10,892.16 and 4,307.82

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Solution

The fourth proportional to 7,892.88, 10,892.16 and 4,307.82 is: 5,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.88 : 10,892.16 = 4,307.82 : x
  2. Step 2: Convert to fraction form
    7,892.88/10,892.16 = 4,307.82/x
  3. Step 3: Cross multiply
    7,892.88x = 10,892.16 × 4,307.82
  4. Step 4: Simplify right side
    7,892.88x = 46,921,464.69
  5. Step 5: Solve for x
    x = 46,921,464.69/7,892.88
  6. Step 6: Final answer
    x = 5,944.78

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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.