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Finding the Fourth Proportional to 7,672.97, 11,506.95 and 2,477.63

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Solution

The fourth proportional to 7,672.97, 11,506.95 and 2,477.63 is: 3,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.97 : 11,506.95 = 2,477.63 : x
  2. Step 2: Convert to fraction form
    7,672.97/11,506.95 = 2,477.63/x
  3. Step 3: Cross multiply
    7,672.97x = 11,506.95 × 2,477.63
  4. Step 4: Simplify right side
    7,672.97x = 28,509,906.99
  5. Step 5: Solve for x
    x = 28,509,906.99/7,672.97
  6. Step 6: Final answer
    x = 3,715.63

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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.