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Finding the Fourth Proportional to 7,697.76, 11,546.66 and 1,854.38

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Solution

The fourth proportional to 7,697.76, 11,546.66 and 1,854.38 is: 2,781.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.76 : 11,546.66 = 1,854.38 : x
  2. Step 2: Convert to fraction form
    7,697.76/11,546.66 = 1,854.38/x
  3. Step 3: Cross multiply
    7,697.76x = 11,546.66 × 1,854.38
  4. Step 4: Simplify right side
    7,697.76x = 21,411,828.37
  5. Step 5: Solve for x
    x = 21,411,828.37/7,697.76
  6. Step 6: Final answer
    x = 2,781.57

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