Home / 7,705.84-11,556.03-2,774.15

Finding the Fourth Proportional to 7,705.84, 11,556.03 and 2,774.15

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Solution

The fourth proportional to 7,705.84, 11,556.03 and 2,774.15 is: 4,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.84 : 11,556.03 = 2,774.15 : x
  2. Step 2: Convert to fraction form
    7,705.84/11,556.03 = 2,774.15/x
  3. Step 3: Cross multiply
    7,705.84x = 11,556.03 × 2,774.15
  4. Step 4: Simplify right side
    7,705.84x = 32,058,198.18
  5. Step 5: Solve for x
    x = 32,058,198.18/7,705.84
  6. Step 6: Final answer
    x = 4,160.25

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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.