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Finding the Fourth Proportional to 10,460.39, 15,692.51 and 3,440.80

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Solution

The fourth proportional to 10,460.39, 15,692.51 and 3,440.80 is: 5,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.39 : 15,692.51 = 3,440.80 : x
  2. Step 2: Convert to fraction form
    10,460.39/15,692.51 = 3,440.80/x
  3. Step 3: Cross multiply
    10,460.39x = 15,692.51 × 3,440.80
  4. Step 4: Simplify right side
    10,460.39x = 53,994,788.41
  5. Step 5: Solve for x
    x = 53,994,788.41/10,460.39
  6. Step 6: Final answer
    x = 5,161.83

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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.