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Finding the Fourth Proportional to 10,431.39, 15,647.07 and 4,191.40

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Solution

The fourth proportional to 10,431.39, 15,647.07 and 4,191.40 is: 6,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.39 : 15,647.07 = 4,191.40 : x
  2. Step 2: Convert to fraction form
    10,431.39/15,647.07 = 4,191.40/x
  3. Step 3: Cross multiply
    10,431.39x = 15,647.07 × 4,191.40
  4. Step 4: Simplify right side
    10,431.39x = 65,583,129.20
  5. Step 5: Solve for x
    x = 65,583,129.20/10,431.39
  6. Step 6: Final answer
    x = 6,287.09

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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.