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Finding the Fourth Proportional to 7,944.10, 10,962.69 and 4,918.42

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Solution

The fourth proportional to 7,944.10, 10,962.69 and 4,918.42 is: 6,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.10 : 10,962.69 = 4,918.42 : x
  2. Step 2: Convert to fraction form
    7,944.10/10,962.69 = 4,918.42/x
  3. Step 3: Cross multiply
    7,944.10x = 10,962.69 × 4,918.42
  4. Step 4: Simplify right side
    7,944.10x = 53,919,113.75
  5. Step 5: Solve for x
    x = 53,919,113.75/7,944.10
  6. Step 6: Final answer
    x = 6,787.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.