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Finding the Fourth Proportional to 8,094.67, 12,141.43 and 4,975.16

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Solution

The fourth proportional to 8,094.67, 12,141.43 and 4,975.16 is: 7,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.67 : 12,141.43 = 4,975.16 : x
  2. Step 2: Convert to fraction form
    8,094.67/12,141.43 = 4,975.16/x
  3. Step 3: Cross multiply
    8,094.67x = 12,141.43 × 4,975.16
  4. Step 4: Simplify right side
    8,094.67x = 60,405,483.73
  5. Step 5: Solve for x
    x = 60,405,483.73/8,094.67
  6. Step 6: Final answer
    x = 7,462.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.