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Finding the Fourth Proportional to 7,157.87, 9,874.45 and 4,768.95

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Solution

The fourth proportional to 7,157.87, 9,874.45 and 4,768.95 is: 6,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.87 : 9,874.45 = 4,768.95 : x
  2. Step 2: Convert to fraction form
    7,157.87/9,874.45 = 4,768.95/x
  3. Step 3: Cross multiply
    7,157.87x = 9,874.45 × 4,768.95
  4. Step 4: Simplify right side
    7,157.87x = 47,090,685.11
  5. Step 5: Solve for x
    x = 47,090,685.11/7,157.87
  6. Step 6: Final answer
    x = 6,578.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.