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Finding the Fourth Proportional to 8,274.93, 12,381.40 and 4,930.94

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Solution

The fourth proportional to 8,274.93, 12,381.40 and 4,930.94 is: 7,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.93 : 12,381.40 = 4,930.94 : x
  2. Step 2: Convert to fraction form
    8,274.93/12,381.40 = 4,930.94/x
  3. Step 3: Cross multiply
    8,274.93x = 12,381.40 × 4,930.94
  4. Step 4: Simplify right side
    8,274.93x = 61,051,977.63
  5. Step 5: Solve for x
    x = 61,051,977.63/8,274.93
  6. Step 6: Final answer
    x = 7,377.95

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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.