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Finding the Fourth Proportional to 8,914.25, 12,300.63 and 5,137.38

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Solution

The fourth proportional to 8,914.25, 12,300.63 and 5,137.38 is: 7,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.25 : 12,300.63 = 5,137.38 : x
  2. Step 2: Convert to fraction form
    8,914.25/12,300.63 = 5,137.38/x
  3. Step 3: Cross multiply
    8,914.25x = 12,300.63 × 5,137.38
  4. Step 4: Simplify right side
    8,914.25x = 63,192,967.36
  5. Step 5: Solve for x
    x = 63,192,967.36/8,914.25
  6. Step 6: Final answer
    x = 7,088.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.