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Finding the Fourth Proportional to 10,938.88, 16,382.16 and 6,307.84

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Solution

The fourth proportional to 10,938.88, 16,382.16 and 6,307.84 is: 9,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.88 : 16,382.16 = 6,307.84 : x
  2. Step 2: Convert to fraction form
    10,938.88/16,382.16 = 6,307.84/x
  3. Step 3: Cross multiply
    10,938.88x = 16,382.16 × 6,307.84
  4. Step 4: Simplify right side
    10,938.88x = 103,336,044.13
  5. Step 5: Solve for x
    x = 103,336,044.13/10,938.88
  6. Step 6: Final answer
    x = 9,446.67

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