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Finding the Fourth Proportional to 8,395.84, 12,594.30 and 2,850.04

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Solution

The fourth proportional to 8,395.84, 12,594.30 and 2,850.04 is: 4,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.84 : 12,594.30 = 2,850.04 : x
  2. Step 2: Convert to fraction form
    8,395.84/12,594.30 = 2,850.04/x
  3. Step 3: Cross multiply
    8,395.84x = 12,594.30 × 2,850.04
  4. Step 4: Simplify right side
    8,395.84x = 35,894,258.77
  5. Step 5: Solve for x
    x = 35,894,258.77/8,395.84
  6. Step 6: Final answer
    x = 4,275.24

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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.