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Finding the Fourth Proportional to 7,775, 11,666.52 and 3,094

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Solution

The fourth proportional to 7,775, 11,666.52 and 3,094 is: 4,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775 : 11,666.52 = 3,094 : x
  2. Step 2: Convert to fraction form
    7,775/11,666.52 = 3,094/x
  3. Step 3: Cross multiply
    7,775x = 11,666.52 × 3,094
  4. Step 4: Simplify right side
    7,775x = 36,096,212.88
  5. Step 5: Solve for x
    x = 36,096,212.88/7,775
  6. Step 6: Final answer
    x = 4,642.60

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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.