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Finding the Fourth Proportional to 8,582.70, 12,852.45 and 8,193.90

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Solution

The fourth proportional to 8,582.70, 12,852.45 and 8,193.90 is: 12,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.70 : 12,852.45 = 8,193.90 : x
  2. Step 2: Convert to fraction form
    8,582.70/12,852.45 = 8,193.90/x
  3. Step 3: Cross multiply
    8,582.70x = 12,852.45 × 8,193.90
  4. Step 4: Simplify right side
    8,582.70x = 105,311,690.06
  5. Step 5: Solve for x
    x = 105,311,690.06/8,582.70
  6. Step 6: Final answer
    x = 12,270.23

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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.