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Finding the Fourth Proportional to 7,663.82, 10,575.77 and 4,684.64

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Solution

The fourth proportional to 7,663.82, 10,575.77 and 4,684.64 is: 6,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.82 : 10,575.77 = 4,684.64 : x
  2. Step 2: Convert to fraction form
    7,663.82/10,575.77 = 4,684.64/x
  3. Step 3: Cross multiply
    7,663.82x = 10,575.77 × 4,684.64
  4. Step 4: Simplify right side
    7,663.82x = 49,543,598.87
  5. Step 5: Solve for x
    x = 49,543,598.87/7,663.82
  6. Step 6: Final answer
    x = 6,464.61

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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.