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Finding the Fourth Proportional to 7,054.26, 9,712.69 and 5,989.78

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Solution

The fourth proportional to 7,054.26, 9,712.69 and 5,989.78 is: 8,247.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.26 : 9,712.69 = 5,989.78 : x
  2. Step 2: Convert to fraction form
    7,054.26/9,712.69 = 5,989.78/x
  3. Step 3: Cross multiply
    7,054.26x = 9,712.69 × 5,989.78
  4. Step 4: Simplify right side
    7,054.26x = 58,176,876.31
  5. Step 5: Solve for x
    x = 58,176,876.31/7,054.26
  6. Step 6: Final answer
    x = 8,247.06

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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.