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Finding the Fourth Proportional to 8,274.80, 12,408.93 and 3,006.95

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Solution

The fourth proportional to 8,274.80, 12,408.93 and 3,006.95 is: 4,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.80 : 12,408.93 = 3,006.95 : x
  2. Step 2: Convert to fraction form
    8,274.80/12,408.93 = 3,006.95/x
  3. Step 3: Cross multiply
    8,274.80x = 12,408.93 × 3,006.95
  4. Step 4: Simplify right side
    8,274.80x = 37,312,970.02
  5. Step 5: Solve for x
    x = 37,312,970.02/8,274.80
  6. Step 6: Final answer
    x = 4,509.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.