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Finding the Fourth Proportional to 7,640.55, 11,462.64 and 2,710.62

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Solution

The fourth proportional to 7,640.55, 11,462.64 and 2,710.62 is: 4,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.55 : 11,462.64 = 2,710.62 : x
  2. Step 2: Convert to fraction form
    7,640.55/11,462.64 = 2,710.62/x
  3. Step 3: Cross multiply
    7,640.55x = 11,462.64 × 2,710.62
  4. Step 4: Simplify right side
    7,640.55x = 31,070,861.24
  5. Step 5: Solve for x
    x = 31,070,861.24/7,640.55
  6. Step 6: Final answer
    x = 4,066.57

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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.