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Finding the Fourth Proportional to 10,582.04, 15,882.62 and 7,774.45

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Solution

The fourth proportional to 10,582.04, 15,882.62 and 7,774.45 is: 11,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.04 : 15,882.62 = 7,774.45 : x
  2. Step 2: Convert to fraction form
    10,582.04/15,882.62 = 7,774.45/x
  3. Step 3: Cross multiply
    10,582.04x = 15,882.62 × 7,774.45
  4. Step 4: Simplify right side
    10,582.04x = 123,478,556.48
  5. Step 5: Solve for x
    x = 123,478,556.48/10,582.04
  6. Step 6: Final answer
    x = 11,668.69

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