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Finding the Fourth Proportional to 7,699.85, 10,625.76 and 4,342.64

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Solution

The fourth proportional to 7,699.85, 10,625.76 and 4,342.64 is: 5,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.85 : 10,625.76 = 4,342.64 : x
  2. Step 2: Convert to fraction form
    7,699.85/10,625.76 = 4,342.64/x
  3. Step 3: Cross multiply
    7,699.85x = 10,625.76 × 4,342.64
  4. Step 4: Simplify right side
    7,699.85x = 46,143,797.28
  5. Step 5: Solve for x
    x = 46,143,797.28/7,699.85
  6. Step 6: Final answer
    x = 5,992.82

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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.