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Finding the Fourth Proportional to 6,955.32, 10,414.75 and 4,768.32

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Solution

The fourth proportional to 6,955.32, 10,414.75 and 4,768.32 is: 7,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.32 : 10,414.75 = 4,768.32 : x
  2. Step 2: Convert to fraction form
    6,955.32/10,414.75 = 4,768.32/x
  3. Step 3: Cross multiply
    6,955.32x = 10,414.75 × 4,768.32
  4. Step 4: Simplify right side
    6,955.32x = 49,660,860.72
  5. Step 5: Solve for x
    x = 49,660,860.72/6,955.32
  6. Step 6: Final answer
    x = 7,139.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.