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Finding the Fourth Proportional to 8,395.84, 12,593.40 and 2,852.02

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Solution

The fourth proportional to 8,395.84, 12,593.40 and 2,852.02 is: 4,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.84 : 12,593.40 = 2,852.02 : x
  2. Step 2: Convert to fraction form
    8,395.84/12,593.40 = 2,852.02/x
  3. Step 3: Cross multiply
    8,395.84x = 12,593.40 × 2,852.02
  4. Step 4: Simplify right side
    8,395.84x = 35,916,628.67
  5. Step 5: Solve for x
    x = 35,916,628.67/8,395.84
  6. Step 6: Final answer
    x = 4,277.91

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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.