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Finding the Fourth Proportional to 12,785.75, 17,643.08 and 7,121.03

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Solution

The fourth proportional to 12,785.75, 17,643.08 and 7,121.03 is: 9,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.75 : 17,643.08 = 7,121.03 : x
  2. Step 2: Convert to fraction form
    12,785.75/17,643.08 = 7,121.03/x
  3. Step 3: Cross multiply
    12,785.75x = 17,643.08 × 7,121.03
  4. Step 4: Simplify right side
    12,785.75x = 125,636,910.77
  5. Step 5: Solve for x
    x = 125,636,910.77/12,785.75
  6. Step 6: Final answer
    x = 9,826.32

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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.