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Finding the Fourth Proportional to 10,077.68, 13,907.40 and 6,100.10

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Solution

The fourth proportional to 10,077.68, 13,907.40 and 6,100.10 is: 8,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.68 : 13,907.40 = 6,100.10 : x
  2. Step 2: Convert to fraction form
    10,077.68/13,907.40 = 6,100.10/x
  3. Step 3: Cross multiply
    10,077.68x = 13,907.40 × 6,100.10
  4. Step 4: Simplify right side
    10,077.68x = 84,836,530.74
  5. Step 5: Solve for x
    x = 84,836,530.74/10,077.68
  6. Step 6: Final answer
    x = 8,418.26

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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.