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Finding the Fourth Proportional to 10,492.16, 15,737.12 and 6,584.96

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Solution

The fourth proportional to 10,492.16, 15,737.12 and 6,584.96 is: 9,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.16 : 15,737.12 = 6,584.96 : x
  2. Step 2: Convert to fraction form
    10,492.16/15,737.12 = 6,584.96/x
  3. Step 3: Cross multiply
    10,492.16x = 15,737.12 × 6,584.96
  4. Step 4: Simplify right side
    10,492.16x = 103,628,305.72
  5. Step 5: Solve for x
    x = 103,628,305.72/10,492.16
  6. Step 6: Final answer
    x = 9,876.74

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