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Finding the Fourth Proportional to 10,640.16, 14,686.01 and 6,163.19

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Solution

The fourth proportional to 10,640.16, 14,686.01 and 6,163.19 is: 8,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.16 : 14,686.01 = 6,163.19 : x
  2. Step 2: Convert to fraction form
    10,640.16/14,686.01 = 6,163.19/x
  3. Step 3: Cross multiply
    10,640.16x = 14,686.01 × 6,163.19
  4. Step 4: Simplify right side
    10,640.16x = 90,512,639.16
  5. Step 5: Solve for x
    x = 90,512,639.16/10,640.16
  6. Step 6: Final answer
    x = 8,506.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.