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Finding the Fourth Proportional to 11,164.37, 16,746.56 and 5,303.21

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Solution

The fourth proportional to 11,164.37, 16,746.56 and 5,303.21 is: 7,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.37 : 16,746.56 = 5,303.21 : x
  2. Step 2: Convert to fraction form
    11,164.37/16,746.56 = 5,303.21/x
  3. Step 3: Cross multiply
    11,164.37x = 16,746.56 × 5,303.21
  4. Step 4: Simplify right side
    11,164.37x = 88,810,414.21
  5. Step 5: Solve for x
    x = 88,810,414.21/11,164.37
  6. Step 6: Final answer
    x = 7,954.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.