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Finding the Fourth Proportional to 7,393.90, 11,093 and 2,777.26

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Solution

The fourth proportional to 7,393.90, 11,093 and 2,777.26 is: 4,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.90 : 11,093 = 2,777.26 : x
  2. Step 2: Convert to fraction form
    7,393.90/11,093 = 2,777.26/x
  3. Step 3: Cross multiply
    7,393.90x = 11,093 × 2,777.26
  4. Step 4: Simplify right side
    7,393.90x = 30,808,145.18
  5. Step 5: Solve for x
    x = 30,808,145.18/7,393.90
  6. Step 6: Final answer
    x = 4,166.70

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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.