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Finding the Fourth Proportional to 10,504.97, 14,497.89 and 7,847.77

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Solution

The fourth proportional to 10,504.97, 14,497.89 and 7,847.77 is: 10,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.97 : 14,497.89 = 7,847.77 : x
  2. Step 2: Convert to fraction form
    10,504.97/14,497.89 = 7,847.77/x
  3. Step 3: Cross multiply
    10,504.97x = 14,497.89 × 7,847.77
  4. Step 4: Simplify right side
    10,504.97x = 113,776,067.71
  5. Step 5: Solve for x
    x = 113,776,067.71/10,504.97
  6. Step 6: Final answer
    x = 10,830.68

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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.