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Finding the Fourth Proportional to 7,316.57, 10,974.83 and 2,937.10

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Solution

The fourth proportional to 7,316.57, 10,974.83 and 2,937.10 is: 4,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.57 : 10,974.83 = 2,937.10 : x
  2. Step 2: Convert to fraction form
    7,316.57/10,974.83 = 2,937.10/x
  3. Step 3: Cross multiply
    7,316.57x = 10,974.83 × 2,937.10
  4. Step 4: Simplify right side
    7,316.57x = 32,234,173.19
  5. Step 5: Solve for x
    x = 32,234,173.19/7,316.57
  6. Step 6: Final answer
    x = 4,405.64

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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.