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Finding the Fourth Proportional to 10,863.10, 16,232.68 and 9,113.50

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Solution

The fourth proportional to 10,863.10, 16,232.68 and 9,113.50 is: 13,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.10 : 16,232.68 = 9,113.50 : x
  2. Step 2: Convert to fraction form
    10,863.10/16,232.68 = 9,113.50/x
  3. Step 3: Cross multiply
    10,863.10x = 16,232.68 × 9,113.50
  4. Step 4: Simplify right side
    10,863.10x = 147,936,529.18
  5. Step 5: Solve for x
    x = 147,936,529.18/10,863.10
  6. Step 6: Final answer
    x = 13,618.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.