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Finding the Fourth Proportional to 7,759.62, 11,638.62 and 4,597.38

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Solution

The fourth proportional to 7,759.62, 11,638.62 and 4,597.38 is: 6,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.62 : 11,638.62 = 4,597.38 : x
  2. Step 2: Convert to fraction form
    7,759.62/11,638.62 = 4,597.38/x
  3. Step 3: Cross multiply
    7,759.62x = 11,638.62 × 4,597.38
  4. Step 4: Simplify right side
    7,759.62x = 53,507,158.82
  5. Step 5: Solve for x
    x = 53,507,158.82/7,759.62
  6. Step 6: Final answer
    x = 6,895.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.