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Finding the Fourth Proportional to 7,719.49, 11,578.78 and 4,758.50

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Solution

The fourth proportional to 7,719.49, 11,578.78 and 4,758.50 is: 7,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.49 : 11,578.78 = 4,758.50 : x
  2. Step 2: Convert to fraction form
    7,719.49/11,578.78 = 4,758.50/x
  3. Step 3: Cross multiply
    7,719.49x = 11,578.78 × 4,758.50
  4. Step 4: Simplify right side
    7,719.49x = 55,097,589.34
  5. Step 5: Solve for x
    x = 55,097,589.34/7,719.49
  6. Step 6: Final answer
    x = 7,137.47

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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.