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Finding the Fourth Proportional to 5,113.82, 7,670.30 and 1,415.77

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Solution

The fourth proportional to 5,113.82, 7,670.30 and 1,415.77 is: 2,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.82 : 7,670.30 = 1,415.77 : x
  2. Step 2: Convert to fraction form
    5,113.82/7,670.30 = 1,415.77/x
  3. Step 3: Cross multiply
    5,113.82x = 7,670.30 × 1,415.77
  4. Step 4: Simplify right side
    5,113.82x = 10,859,354.38
  5. Step 5: Solve for x
    x = 10,859,354.38/5,113.82
  6. Step 6: Final answer
    x = 2,123.53

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