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Finding the Fourth Proportional to 10,411.50, 15,619.29 and 5,217.39

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Solution

The fourth proportional to 10,411.50, 15,619.29 and 5,217.39 is: 7,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.50 : 15,619.29 = 5,217.39 : x
  2. Step 2: Convert to fraction form
    10,411.50/15,619.29 = 5,217.39/x
  3. Step 3: Cross multiply
    10,411.50x = 15,619.29 × 5,217.39
  4. Step 4: Simplify right side
    10,411.50x = 81,491,927.45
  5. Step 5: Solve for x
    x = 81,491,927.45/10,411.50
  6. Step 6: Final answer
    x = 7,827.11

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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.