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Finding the Fourth Proportional to 11,600.07, 16,007.87 and 6,564.20

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Solution

The fourth proportional to 11,600.07, 16,007.87 and 6,564.20 is: 9,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.07 : 16,007.87 = 6,564.20 : x
  2. Step 2: Convert to fraction form
    11,600.07/16,007.87 = 6,564.20/x
  3. Step 3: Cross multiply
    11,600.07x = 16,007.87 × 6,564.20
  4. Step 4: Simplify right side
    11,600.07x = 105,078,759.70
  5. Step 5: Solve for x
    x = 105,078,759.70/11,600.07
  6. Step 6: Final answer
    x = 9,058.46

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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.