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Finding the Fourth Proportional to 7,729.78, 10,665.84 and 4,371.70

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Solution

The fourth proportional to 7,729.78, 10,665.84 and 4,371.70 is: 6,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.78 : 10,665.84 = 4,371.70 : x
  2. Step 2: Convert to fraction form
    7,729.78/10,665.84 = 4,371.70/x
  3. Step 3: Cross multiply
    7,729.78x = 10,665.84 × 4,371.70
  4. Step 4: Simplify right side
    7,729.78x = 46,627,852.73
  5. Step 5: Solve for x
    x = 46,627,852.73/7,729.78
  6. Step 6: Final answer
    x = 6,032.24

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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.