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Finding the Fourth Proportional to 10,863.10, 16,270.35 and 9,405.10

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Solution

The fourth proportional to 10,863.10, 16,270.35 and 9,405.10 is: 14,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.10 : 16,270.35 = 9,405.10 : x
  2. Step 2: Convert to fraction form
    10,863.10/16,270.35 = 9,405.10/x
  3. Step 3: Cross multiply
    10,863.10x = 16,270.35 × 9,405.10
  4. Step 4: Simplify right side
    10,863.10x = 153,024,268.79
  5. Step 5: Solve for x
    x = 153,024,268.79/10,863.10
  6. Step 6: Final answer
    x = 14,086.61

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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.