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Finding the Fourth Proportional to 7,625.88, 10,525.47 and 4,968.66

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Solution

The fourth proportional to 7,625.88, 10,525.47 and 4,968.66 is: 6,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.88 : 10,525.47 = 4,968.66 : x
  2. Step 2: Convert to fraction form
    7,625.88/10,525.47 = 4,968.66/x
  3. Step 3: Cross multiply
    7,625.88x = 10,525.47 × 4,968.66
  4. Step 4: Simplify right side
    7,625.88x = 52,297,481.77
  5. Step 5: Solve for x
    x = 52,297,481.77/7,625.88
  6. Step 6: Final answer
    x = 6,857.89

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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.