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Finding the Fourth Proportional to 10,142.03, 15,214.26 and 3,900.59

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Solution

The fourth proportional to 10,142.03, 15,214.26 and 3,900.59 is: 5,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.03 : 15,214.26 = 3,900.59 : x
  2. Step 2: Convert to fraction form
    10,142.03/15,214.26 = 3,900.59/x
  3. Step 3: Cross multiply
    10,142.03x = 15,214.26 × 3,900.59
  4. Step 4: Simplify right side
    10,142.03x = 59,344,590.41
  5. Step 5: Solve for x
    x = 59,344,590.41/10,142.03
  6. Step 6: Final answer
    x = 5,851.35

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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.