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Finding the Fourth Proportional to 12,590.02, 17,382.76 and 7,811.91

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Solution

The fourth proportional to 12,590.02, 17,382.76 and 7,811.91 is: 10,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.02 : 17,382.76 = 7,811.91 : x
  2. Step 2: Convert to fraction form
    12,590.02/17,382.76 = 7,811.91/x
  3. Step 3: Cross multiply
    12,590.02x = 17,382.76 × 7,811.91
  4. Step 4: Simplify right side
    12,590.02x = 135,792,537.14
  5. Step 5: Solve for x
    x = 135,792,537.14/12,590.02
  6. Step 6: Final answer
    x = 10,785.73

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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.