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Finding the Fourth Proportional to 10,102.79, 13,940.94 and 5,852.49

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Solution

The fourth proportional to 10,102.79, 13,940.94 and 5,852.49 is: 8,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.79 : 13,940.94 = 5,852.49 : x
  2. Step 2: Convert to fraction form
    10,102.79/13,940.94 = 5,852.49/x
  3. Step 3: Cross multiply
    10,102.79x = 13,940.94 × 5,852.49
  4. Step 4: Simplify right side
    10,102.79x = 81,589,211.94
  5. Step 5: Solve for x
    x = 81,589,211.94/10,102.79
  6. Step 6: Final answer
    x = 8,075.91

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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.