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Finding the Fourth Proportional to 8,283.70, 12,425.58 and 3,089.50

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Solution

The fourth proportional to 8,283.70, 12,425.58 and 3,089.50 is: 4,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.70 : 12,425.58 = 3,089.50 : x
  2. Step 2: Convert to fraction form
    8,283.70/12,425.58 = 3,089.50/x
  3. Step 3: Cross multiply
    8,283.70x = 12,425.58 × 3,089.50
  4. Step 4: Simplify right side
    8,283.70x = 38,388,829.41
  5. Step 5: Solve for x
    x = 38,388,829.41/8,283.70
  6. Step 6: Final answer
    x = 4,634.26

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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.