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Finding the Fourth Proportional to 7,316, 10,977.04 and 2,936.56

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Solution

The fourth proportional to 7,316, 10,977.04 and 2,936.56 is: 4,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316 : 10,977.04 = 2,936.56 : x
  2. Step 2: Convert to fraction form
    7,316/10,977.04 = 2,936.56/x
  3. Step 3: Cross multiply
    7,316x = 10,977.04 × 2,936.56
  4. Step 4: Simplify right side
    7,316x = 32,234,736.58
  5. Step 5: Solve for x
    x = 32,234,736.58/7,316
  6. Step 6: Final answer
    x = 4,406.06

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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.