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Finding the Fourth Proportional to 10,094.67, 15,142.07 and 3,520.83

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Solution

The fourth proportional to 10,094.67, 15,142.07 and 3,520.83 is: 5,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.67 : 15,142.07 = 3,520.83 : x
  2. Step 2: Convert to fraction form
    10,094.67/15,142.07 = 3,520.83/x
  3. Step 3: Cross multiply
    10,094.67x = 15,142.07 × 3,520.83
  4. Step 4: Simplify right side
    10,094.67x = 53,312,654.32
  5. Step 5: Solve for x
    x = 53,312,654.32/10,094.67
  6. Step 6: Final answer
    x = 5,281.27

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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.