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Finding the Fourth Proportional to 7,675.10, 11,512.53 and 3,776.66

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Solution

The fourth proportional to 7,675.10, 11,512.53 and 3,776.66 is: 5,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.10 : 11,512.53 = 3,776.66 : x
  2. Step 2: Convert to fraction form
    7,675.10/11,512.53 = 3,776.66/x
  3. Step 3: Cross multiply
    7,675.10x = 11,512.53 × 3,776.66
  4. Step 4: Simplify right side
    7,675.10x = 43,478,911.55
  5. Step 5: Solve for x
    x = 43,478,911.55/7,675.10
  6. Step 6: Final answer
    x = 5,664.93

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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.