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Finding the Fourth Proportional to 10,492.76, 15,733.69 and 3,096.25

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Solution

The fourth proportional to 10,492.76, 15,733.69 and 3,096.25 is: 4,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.76 : 15,733.69 = 3,096.25 : x
  2. Step 2: Convert to fraction form
    10,492.76/15,733.69 = 3,096.25/x
  3. Step 3: Cross multiply
    10,492.76x = 15,733.69 × 3,096.25
  4. Step 4: Simplify right side
    10,492.76x = 48,715,390.59
  5. Step 5: Solve for x
    x = 48,715,390.59/10,492.76
  6. Step 6: Final answer
    x = 4,642.76

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