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Finding the Fourth Proportional to 8,396, 12,594.04 and 2,240

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Solution

The fourth proportional to 8,396, 12,594.04 and 2,240 is: 3,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 12,594.04 = 2,240 : x
  2. Step 2: Convert to fraction form
    8,396/12,594.04 = 2,240/x
  3. Step 3: Cross multiply
    8,396x = 12,594.04 × 2,240
  4. Step 4: Simplify right side
    8,396x = 28,210,649.60
  5. Step 5: Solve for x
    x = 28,210,649.60/8,396
  6. Step 6: Final answer
    x = 3,360.01

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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.