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Finding the Fourth Proportional to 7,625.45, 10,524.76 and 4,642.25

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Solution

The fourth proportional to 7,625.45, 10,524.76 and 4,642.25 is: 6,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.45 : 10,524.76 = 4,642.25 : x
  2. Step 2: Convert to fraction form
    7,625.45/10,524.76 = 4,642.25/x
  3. Step 3: Cross multiply
    7,625.45x = 10,524.76 × 4,642.25
  4. Step 4: Simplify right side
    7,625.45x = 48,858,567.11
  5. Step 5: Solve for x
    x = 48,858,567.11/7,625.45
  6. Step 6: Final answer
    x = 6,407.30

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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.