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Finding the Fourth Proportional to 5,461.32, 8,192.29 and 1,565.63

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Solution

The fourth proportional to 5,461.32, 8,192.29 and 1,565.63 is: 2,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.32 : 8,192.29 = 1,565.63 : x
  2. Step 2: Convert to fraction form
    5,461.32/8,192.29 = 1,565.63/x
  3. Step 3: Cross multiply
    5,461.32x = 8,192.29 × 1,565.63
  4. Step 4: Simplify right side
    5,461.32x = 12,826,050.12
  5. Step 5: Solve for x
    x = 12,826,050.12/5,461.32
  6. Step 6: Final answer
    x = 2,348.53

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