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Finding the Fourth Proportional to 7,177.95, 10,766.52 and 2,961.63

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Solution

The fourth proportional to 7,177.95, 10,766.52 and 2,961.63 is: 4,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.95 : 10,766.52 = 2,961.63 : x
  2. Step 2: Convert to fraction form
    7,177.95/10,766.52 = 2,961.63/x
  3. Step 3: Cross multiply
    7,177.95x = 10,766.52 × 2,961.63
  4. Step 4: Simplify right side
    7,177.95x = 31,886,448.63
  5. Step 5: Solve for x
    x = 31,886,448.63/7,177.95
  6. Step 6: Final answer
    x = 4,442.28

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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.