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Finding the Fourth Proportional to 7,774.92, 10,729.33 and 4,238.06

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Solution

The fourth proportional to 7,774.92, 10,729.33 and 4,238.06 is: 5,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.92 : 10,729.33 = 4,238.06 : x
  2. Step 2: Convert to fraction form
    7,774.92/10,729.33 = 4,238.06/x
  3. Step 3: Cross multiply
    7,774.92x = 10,729.33 × 4,238.06
  4. Step 4: Simplify right side
    7,774.92x = 45,471,480.06
  5. Step 5: Solve for x
    x = 45,471,480.06/7,774.92
  6. Step 6: Final answer
    x = 5,848.48

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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.