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Finding the Fourth Proportional to 10,415.80, 15,625.06 and 3,846.60

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Solution

The fourth proportional to 10,415.80, 15,625.06 and 3,846.60 is: 5,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.80 : 15,625.06 = 3,846.60 : x
  2. Step 2: Convert to fraction form
    10,415.80/15,625.06 = 3,846.60/x
  3. Step 3: Cross multiply
    10,415.80x = 15,625.06 × 3,846.60
  4. Step 4: Simplify right side
    10,415.80x = 60,103,355.80
  5. Step 5: Solve for x
    x = 60,103,355.80/10,415.80
  6. Step 6: Final answer
    x = 5,770.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.