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Finding the Fourth Proportional to 10,078.85, 15,125.22 and 3,505.02

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Solution

The fourth proportional to 10,078.85, 15,125.22 and 3,505.02 is: 5,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.85 : 15,125.22 = 3,505.02 : x
  2. Step 2: Convert to fraction form
    10,078.85/15,125.22 = 3,505.02/x
  3. Step 3: Cross multiply
    10,078.85x = 15,125.22 × 3,505.02
  4. Step 4: Simplify right side
    10,078.85x = 53,014,198.60
  5. Step 5: Solve for x
    x = 53,014,198.60/10,078.85
  6. Step 6: Final answer
    x = 5,259.95

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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.