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Finding the Fourth Proportional to 10,077.89, 13,907.19 and 5,770.84

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Solution

The fourth proportional to 10,077.89, 13,907.19 and 5,770.84 is: 7,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.89 : 13,907.19 = 5,770.84 : x
  2. Step 2: Convert to fraction form
    10,077.89/13,907.19 = 5,770.84/x
  3. Step 3: Cross multiply
    10,077.89x = 13,907.19 × 5,770.84
  4. Step 4: Simplify right side
    10,077.89x = 80,256,069.95
  5. Step 5: Solve for x
    x = 80,256,069.95/10,077.89
  6. Step 6: Final answer
    x = 7,963.58

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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.