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Finding the Fourth Proportional to 11,164.95, 16,746.89 and 4,923.27

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Solution

The fourth proportional to 11,164.95, 16,746.89 and 4,923.27 is: 7,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.95 : 16,746.89 = 4,923.27 : x
  2. Step 2: Convert to fraction form
    11,164.95/16,746.89 = 4,923.27/x
  3. Step 3: Cross multiply
    11,164.95x = 16,746.89 × 4,923.27
  4. Step 4: Simplify right side
    11,164.95x = 82,449,436.51
  5. Step 5: Solve for x
    x = 82,449,436.51/11,164.95
  6. Step 6: Final answer
    x = 7,384.67

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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.