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Finding the Fourth Proportional to 11,599.22, 16,007.70 and 6,563.48

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Solution

The fourth proportional to 11,599.22, 16,007.70 and 6,563.48 is: 9,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.22 : 16,007.70 = 6,563.48 : x
  2. Step 2: Convert to fraction form
    11,599.22/16,007.70 = 6,563.48/x
  3. Step 3: Cross multiply
    11,599.22x = 16,007.70 × 6,563.48
  4. Step 4: Simplify right side
    11,599.22x = 105,066,218.80
  5. Step 5: Solve for x
    x = 105,066,218.80/11,599.22
  6. Step 6: Final answer
    x = 9,058.04

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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.