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Finding the Fourth Proportional to 10,432.74, 15,640.98 and 5,164.11

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Solution

The fourth proportional to 10,432.74, 15,640.98 and 5,164.11 is: 7,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.74 : 15,640.98 = 5,164.11 : x
  2. Step 2: Convert to fraction form
    10,432.74/15,640.98 = 5,164.11/x
  3. Step 3: Cross multiply
    10,432.74x = 15,640.98 × 5,164.11
  4. Step 4: Simplify right side
    10,432.74x = 80,771,741.23
  5. Step 5: Solve for x
    x = 80,771,741.23/10,432.74
  6. Step 6: Final answer
    x = 7,742.14

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