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Finding the Fourth Proportional to 10,498.84, 15,749.10 and 3,478.57

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Solution

The fourth proportional to 10,498.84, 15,749.10 and 3,478.57 is: 5,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.84 : 15,749.10 = 3,478.57 : x
  2. Step 2: Convert to fraction form
    10,498.84/15,749.10 = 3,478.57/x
  3. Step 3: Cross multiply
    10,498.84x = 15,749.10 × 3,478.57
  4. Step 4: Simplify right side
    10,498.84x = 54,784,346.79
  5. Step 5: Solve for x
    x = 54,784,346.79/10,498.84
  6. Step 6: Final answer
    x = 5,218.13

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