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Finding the Fourth Proportional to 10,581.66, 15,841.33 and 7,820.64

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Solution

The fourth proportional to 10,581.66, 15,841.33 and 7,820.64 is: 11,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.66 : 15,841.33 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    10,581.66/15,841.33 = 7,820.64/x
  3. Step 3: Cross multiply
    10,581.66x = 15,841.33 × 7,820.64
  4. Step 4: Simplify right side
    10,581.66x = 123,889,259.84
  5. Step 5: Solve for x
    x = 123,889,259.84/10,581.66
  6. Step 6: Final answer
    x = 11,707.93

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