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Finding the Fourth Proportional to 7,316.75, 10,975.23 and 3,154.16

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Solution

The fourth proportional to 7,316.75, 10,975.23 and 3,154.16 is: 4,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.75 : 10,975.23 = 3,154.16 : x
  2. Step 2: Convert to fraction form
    7,316.75/10,975.23 = 3,154.16/x
  3. Step 3: Cross multiply
    7,316.75x = 10,975.23 × 3,154.16
  4. Step 4: Simplify right side
    7,316.75x = 34,617,658.89
  5. Step 5: Solve for x
    x = 34,617,658.89/7,316.75
  6. Step 6: Final answer
    x = 4,731.29

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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.