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Finding the Fourth Proportional to 7,700.06, 10,626.09 and 4,556.25

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Solution

The fourth proportional to 7,700.06, 10,626.09 and 4,556.25 is: 6,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 10,626.09 = 4,556.25 : x
  2. Step 2: Convert to fraction form
    7,700.06/10,626.09 = 4,556.25/x
  3. Step 3: Cross multiply
    7,700.06x = 10,626.09 × 4,556.25
  4. Step 4: Simplify right side
    7,700.06x = 48,415,105.48
  5. Step 5: Solve for x
    x = 48,415,105.48/7,700.06
  6. Step 6: Final answer
    x = 6,287.63

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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.