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Finding the Fourth Proportional to 6,928.34, 10,395.75 and 4,009.10

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Solution

The fourth proportional to 6,928.34, 10,395.75 and 4,009.10 is: 6,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.34 : 10,395.75 = 4,009.10 : x
  2. Step 2: Convert to fraction form
    6,928.34/10,395.75 = 4,009.10/x
  3. Step 3: Cross multiply
    6,928.34x = 10,395.75 × 4,009.10
  4. Step 4: Simplify right side
    6,928.34x = 41,677,601.33
  5. Step 5: Solve for x
    x = 41,677,601.33/6,928.34
  6. Step 6: Final answer
    x = 6,015.52

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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.