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Finding the Fourth Proportional to 11,620.68, 17,429.76 and 6,877.32

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Solution

The fourth proportional to 11,620.68, 17,429.76 and 6,877.32 is: 10,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.68 : 17,429.76 = 6,877.32 : x
  2. Step 2: Convert to fraction form
    11,620.68/17,429.76 = 6,877.32/x
  3. Step 3: Cross multiply
    11,620.68x = 17,429.76 × 6,877.32
  4. Step 4: Simplify right side
    11,620.68x = 119,870,037.04
  5. Step 5: Solve for x
    x = 119,870,037.04/11,620.68
  6. Step 6: Final answer
    x = 10,315.23

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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.