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Finding the Fourth Proportional to 10,488.07, 15,733.64 and 6,536.09

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Solution

The fourth proportional to 10,488.07, 15,733.64 and 6,536.09 is: 9,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.07 : 15,733.64 = 6,536.09 : x
  2. Step 2: Convert to fraction form
    10,488.07/15,733.64 = 6,536.09/x
  3. Step 3: Cross multiply
    10,488.07x = 15,733.64 × 6,536.09
  4. Step 4: Simplify right side
    10,488.07x = 102,836,542.74
  5. Step 5: Solve for x
    x = 102,836,542.74/10,488.07
  6. Step 6: Final answer
    x = 9,805.10

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