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Finding the Fourth Proportional to 12,776.04, 17,639.76 and 7,998.12

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Solution

The fourth proportional to 12,776.04, 17,639.76 and 7,998.12 is: 11,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.04 : 17,639.76 = 7,998.12 : x
  2. Step 2: Convert to fraction form
    12,776.04/17,639.76 = 7,998.12/x
  3. Step 3: Cross multiply
    12,776.04x = 17,639.76 × 7,998.12
  4. Step 4: Simplify right side
    12,776.04x = 141,084,917.25
  5. Step 5: Solve for x
    x = 141,084,917.25/12,776.04
  6. Step 6: Final answer
    x = 11,042.93

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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.