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Finding the Fourth Proportional to 10,412.90, 15,620.70 and 5,150.60

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Solution

The fourth proportional to 10,412.90, 15,620.70 and 5,150.60 is: 7,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.90 : 15,620.70 = 5,150.60 : x
  2. Step 2: Convert to fraction form
    10,412.90/15,620.70 = 5,150.60/x
  3. Step 3: Cross multiply
    10,412.90x = 15,620.70 × 5,150.60
  4. Step 4: Simplify right side
    10,412.90x = 80,455,977.42
  5. Step 5: Solve for x
    x = 80,455,977.42/10,412.90
  6. Step 6: Final answer
    x = 7,726.57

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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.