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Finding the Fourth Proportional to 10,863.45, 16,289.67 and 5,308.47

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Solution

The fourth proportional to 10,863.45, 16,289.67 and 5,308.47 is: 7,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.45 : 16,289.67 = 5,308.47 : x
  2. Step 2: Convert to fraction form
    10,863.45/16,289.67 = 5,308.47/x
  3. Step 3: Cross multiply
    10,863.45x = 16,289.67 × 5,308.47
  4. Step 4: Simplify right side
    10,863.45x = 86,473,224.50
  5. Step 5: Solve for x
    x = 86,473,224.50/10,863.45
  6. Step 6: Final answer
    x = 7,960.01

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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.