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Finding the Fourth Proportional to 6,977.36, 10,466.04 and 1,783.28

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Solution

The fourth proportional to 6,977.36, 10,466.04 and 1,783.28 is: 2,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.36 : 10,466.04 = 1,783.28 : x
  2. Step 2: Convert to fraction form
    6,977.36/10,466.04 = 1,783.28/x
  3. Step 3: Cross multiply
    6,977.36x = 10,466.04 × 1,783.28
  4. Step 4: Simplify right side
    6,977.36x = 18,663,879.81
  5. Step 5: Solve for x
    x = 18,663,879.81/6,977.36
  6. Step 6: Final answer
    x = 2,674.92

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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.