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Finding the Fourth Proportional to 10,207.82, 15,312.97 and 7,578.58

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Solution

The fourth proportional to 10,207.82, 15,312.97 and 7,578.58 is: 11,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.82 : 15,312.97 = 7,578.58 : x
  2. Step 2: Convert to fraction form
    10,207.82/15,312.97 = 7,578.58/x
  3. Step 3: Cross multiply
    10,207.82x = 15,312.97 × 7,578.58
  4. Step 4: Simplify right side
    10,207.82x = 116,050,568.18
  5. Step 5: Solve for x
    x = 116,050,568.18/10,207.82
  6. Step 6: Final answer
    x = 11,368.79

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