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Finding the Fourth Proportional to 10,325.29, 15,468.04 and 6,168.63

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Solution

The fourth proportional to 10,325.29, 15,468.04 and 6,168.63 is: 9,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.29 : 15,468.04 = 6,168.63 : x
  2. Step 2: Convert to fraction form
    10,325.29/15,468.04 = 6,168.63/x
  3. Step 3: Cross multiply
    10,325.29x = 15,468.04 × 6,168.63
  4. Step 4: Simplify right side
    10,325.29x = 95,416,615.59
  5. Step 5: Solve for x
    x = 95,416,615.59/10,325.29
  6. Step 6: Final answer
    x = 9,241.06

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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.