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Finding the Fourth Proportional to 7,697.51, 10,626.41 and 5,992.25

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Solution

The fourth proportional to 7,697.51, 10,626.41 and 5,992.25 is: 8,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.51 : 10,626.41 = 5,992.25 : x
  2. Step 2: Convert to fraction form
    7,697.51/10,626.41 = 5,992.25/x
  3. Step 3: Cross multiply
    7,697.51x = 10,626.41 × 5,992.25
  4. Step 4: Simplify right side
    7,697.51x = 63,676,146.87
  5. Step 5: Solve for x
    x = 63,676,146.87/7,697.51
  6. Step 6: Final answer
    x = 8,272.31

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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.