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Finding the Fourth Proportional to 10,675.89, 14,729.61 and 6,137.87

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Solution

The fourth proportional to 10,675.89, 14,729.61 and 6,137.87 is: 8,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.89 : 14,729.61 = 6,137.87 : x
  2. Step 2: Convert to fraction form
    10,675.89/14,729.61 = 6,137.87/x
  3. Step 3: Cross multiply
    10,675.89x = 14,729.61 × 6,137.87
  4. Step 4: Simplify right side
    10,675.89x = 90,408,357.68
  5. Step 5: Solve for x
    x = 90,408,357.68/10,675.89
  6. Step 6: Final answer
    x = 8,468.46

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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.