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Finding the Fourth Proportional to 11,600.11, 16,008.15 and 6,564.22

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Solution

The fourth proportional to 11,600.11, 16,008.15 and 6,564.22 is: 9,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.11 : 16,008.15 = 6,564.22 : x
  2. Step 2: Convert to fraction form
    11,600.11/16,008.15 = 6,564.22/x
  3. Step 3: Cross multiply
    11,600.11x = 16,008.15 × 6,564.22
  4. Step 4: Simplify right side
    11,600.11x = 105,081,018.39
  5. Step 5: Solve for x
    x = 105,081,018.39/11,600.11
  6. Step 6: Final answer
    x = 9,058.62

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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.