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Finding the Fourth Proportional to 7,857.78, 11,783.70 and 3,959.52

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Solution

The fourth proportional to 7,857.78, 11,783.70 and 3,959.52 is: 5,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.78 : 11,783.70 = 3,959.52 : x
  2. Step 2: Convert to fraction form
    7,857.78/11,783.70 = 3,959.52/x
  3. Step 3: Cross multiply
    7,857.78x = 11,783.70 × 3,959.52
  4. Step 4: Simplify right side
    7,857.78x = 46,657,795.82
  5. Step 5: Solve for x
    x = 46,657,795.82/7,857.78
  6. Step 6: Final answer
    x = 5,937.78

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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.