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Finding the Fourth Proportional to 8,794.74, 12,137.02 and 5,260

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Solution

The fourth proportional to 8,794.74, 12,137.02 and 5,260 is: 7,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,794.74 : 12,137.02 = 5,260 : x
  2. Step 2: Convert to fraction form
    8,794.74/12,137.02 = 5,260/x
  3. Step 3: Cross multiply
    8,794.74x = 12,137.02 × 5,260
  4. Step 4: Simplify right side
    8,794.74x = 63,840,725.20
  5. Step 5: Solve for x
    x = 63,840,725.20/8,794.74
  6. Step 6: Final answer
    x = 7,258.97

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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.