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Finding the Fourth Proportional to 7,659.78, 10,571.64 and 4,677.33

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Solution

The fourth proportional to 7,659.78, 10,571.64 and 4,677.33 is: 6,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.78 : 10,571.64 = 4,677.33 : x
  2. Step 2: Convert to fraction form
    7,659.78/10,571.64 = 4,677.33/x
  3. Step 3: Cross multiply
    7,659.78x = 10,571.64 × 4,677.33
  4. Step 4: Simplify right side
    7,659.78x = 49,447,048.92
  5. Step 5: Solve for x
    x = 49,447,048.92/7,659.78
  6. Step 6: Final answer
    x = 6,455.41

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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.