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Finding the Fourth Proportional to 7,799.08, 10,765.30 and 6,208.64

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Solution

The fourth proportional to 7,799.08, 10,765.30 and 6,208.64 is: 8,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.08 : 10,765.30 = 6,208.64 : x
  2. Step 2: Convert to fraction form
    7,799.08/10,765.30 = 6,208.64/x
  3. Step 3: Cross multiply
    7,799.08x = 10,765.30 × 6,208.64
  4. Step 4: Simplify right side
    7,799.08x = 66,837,872.19
  5. Step 5: Solve for x
    x = 66,837,872.19/7,799.08
  6. Step 6: Final answer
    x = 8,569.97

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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.