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Finding the Fourth Proportional to 7,719.28, 10,673.31 and 7,364.50

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Solution

The fourth proportional to 7,719.28, 10,673.31 and 7,364.50 is: 10,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719.28 : 10,673.31 = 7,364.50 : x
  2. Step 2: Convert to fraction form
    7,719.28/10,673.31 = 7,364.50/x
  3. Step 3: Cross multiply
    7,719.28x = 10,673.31 × 7,364.50
  4. Step 4: Simplify right side
    7,719.28x = 78,603,591.50
  5. Step 5: Solve for x
    x = 78,603,591.50/7,719.28
  6. Step 6: Final answer
    x = 10,182.76

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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.