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Finding the Fourth Proportional to 11,299.97, 15,594.89 and 6,265.77

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Solution

The fourth proportional to 11,299.97, 15,594.89 and 6,265.77 is: 8,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.97 : 15,594.89 = 6,265.77 : x
  2. Step 2: Convert to fraction form
    11,299.97/15,594.89 = 6,265.77/x
  3. Step 3: Cross multiply
    11,299.97x = 15,594.89 × 6,265.77
  4. Step 4: Simplify right side
    11,299.97x = 97,713,993.92
  5. Step 5: Solve for x
    x = 97,713,993.92/11,299.97
  6. Step 6: Final answer
    x = 8,647.28

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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.