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Finding the Fourth Proportional to 8,906.24, 13,359.36 and 6,124.50

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Solution

The fourth proportional to 8,906.24, 13,359.36 and 6,124.50 is: 9,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.24 : 13,359.36 = 6,124.50 : x
  2. Step 2: Convert to fraction form
    8,906.24/13,359.36 = 6,124.50/x
  3. Step 3: Cross multiply
    8,906.24x = 13,359.36 × 6,124.50
  4. Step 4: Simplify right side
    8,906.24x = 81,819,400.32
  5. Step 5: Solve for x
    x = 81,819,400.32/8,906.24
  6. Step 6: Final answer
    x = 9,186.76

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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.