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Finding the Fourth Proportional to 7,077.78, 10,615.86 and 1,883.25

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Solution

The fourth proportional to 7,077.78, 10,615.86 and 1,883.25 is: 2,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.78 : 10,615.86 = 1,883.25 : x
  2. Step 2: Convert to fraction form
    7,077.78/10,615.86 = 1,883.25/x
  3. Step 3: Cross multiply
    7,077.78x = 10,615.86 × 1,883.25
  4. Step 4: Simplify right side
    7,077.78x = 19,992,318.35
  5. Step 5: Solve for x
    x = 19,992,318.35/7,077.78
  6. Step 6: Final answer
    x = 2,824.66

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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.