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Finding the Fourth Proportional to 11,599.09, 16,007.49 and 6,563.82

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Solution

The fourth proportional to 11,599.09, 16,007.49 and 6,563.82 is: 9,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.09 : 16,007.49 = 6,563.82 : x
  2. Step 2: Convert to fraction form
    11,599.09/16,007.49 = 6,563.82/x
  3. Step 3: Cross multiply
    11,599.09x = 16,007.49 × 6,563.82
  4. Step 4: Simplify right side
    11,599.09x = 105,070,283.01
  5. Step 5: Solve for x
    x = 105,070,283.01/11,599.09
  6. Step 6: Final answer
    x = 9,058.49

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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.