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Finding the Fourth Proportional to 7,774.17, 10,721.88 and 5,645.49

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Solution

The fourth proportional to 7,774.17, 10,721.88 and 5,645.49 is: 7,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.17 : 10,721.88 = 5,645.49 : x
  2. Step 2: Convert to fraction form
    7,774.17/10,721.88 = 5,645.49/x
  3. Step 3: Cross multiply
    7,774.17x = 10,721.88 × 5,645.49
  4. Step 4: Simplify right side
    7,774.17x = 60,530,266.32
  5. Step 5: Solve for x
    x = 60,530,266.32/7,774.17
  6. Step 6: Final answer
    x = 7,786.07

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