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Finding the Fourth Proportional to 11,306.64, 16,959.94 and 4,381.12

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Solution

The fourth proportional to 11,306.64, 16,959.94 and 4,381.12 is: 6,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.64 : 16,959.94 = 4,381.12 : x
  2. Step 2: Convert to fraction form
    11,306.64/16,959.94 = 4,381.12/x
  3. Step 3: Cross multiply
    11,306.64x = 16,959.94 × 4,381.12
  4. Step 4: Simplify right side
    11,306.64x = 74,303,532.33
  5. Step 5: Solve for x
    x = 74,303,532.33/11,306.64
  6. Step 6: Final answer
    x = 6,571.67

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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.