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Finding the Fourth Proportional to 8,370.84, 12,555.03 and 3,175.50

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Solution

The fourth proportional to 8,370.84, 12,555.03 and 3,175.50 is: 4,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.84 : 12,555.03 = 3,175.50 : x
  2. Step 2: Convert to fraction form
    8,370.84/12,555.03 = 3,175.50/x
  3. Step 3: Cross multiply
    8,370.84x = 12,555.03 × 3,175.50
  4. Step 4: Simplify right side
    8,370.84x = 39,868,497.77
  5. Step 5: Solve for x
    x = 39,868,497.77/8,370.84
  6. Step 6: Final answer
    x = 4,762.78

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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.