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Finding the Fourth Proportional to 10,074.88, 13,907.91 and 6,893.29

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Solution

The fourth proportional to 10,074.88, 13,907.91 and 6,893.29 is: 9,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.88 : 13,907.91 = 6,893.29 : x
  2. Step 2: Convert to fraction form
    10,074.88/13,907.91 = 6,893.29/x
  3. Step 3: Cross multiply
    10,074.88x = 13,907.91 × 6,893.29
  4. Step 4: Simplify right side
    10,074.88x = 95,871,256.92
  5. Step 5: Solve for x
    x = 95,871,256.92/10,074.88
  6. Step 6: Final answer
    x = 9,515.87

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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.