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Finding the Fourth Proportional to 7,312.26, 10,974.06 and 2,930.16

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Solution

The fourth proportional to 7,312.26, 10,974.06 and 2,930.16 is: 4,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.26 : 10,974.06 = 2,930.16 : x
  2. Step 2: Convert to fraction form
    7,312.26/10,974.06 = 2,930.16/x
  3. Step 3: Cross multiply
    7,312.26x = 10,974.06 × 2,930.16
  4. Step 4: Simplify right side
    7,312.26x = 32,155,751.65
  5. Step 5: Solve for x
    x = 32,155,751.65/7,312.26
  6. Step 6: Final answer
    x = 4,397.51

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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.