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Finding the Fourth Proportional to 13,083.50, 19,628.04 and 4,318.10

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Solution

The fourth proportional to 13,083.50, 19,628.04 and 4,318.10 is: 6,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.50 : 19,628.04 = 4,318.10 : x
  2. Step 2: Convert to fraction form
    13,083.50/19,628.04 = 4,318.10/x
  3. Step 3: Cross multiply
    13,083.50x = 19,628.04 × 4,318.10
  4. Step 4: Simplify right side
    13,083.50x = 84,755,839.52
  5. Step 5: Solve for x
    x = 84,755,839.52/13,083.50
  6. Step 6: Final answer
    x = 6,478.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.