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Finding the Fourth Proportional to 7,983.66, 11,973.44 and 3,305

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Solution

The fourth proportional to 7,983.66, 11,973.44 and 3,305 is: 4,956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.66 : 11,973.44 = 3,305 : x
  2. Step 2: Convert to fraction form
    7,983.66/11,973.44 = 3,305/x
  3. Step 3: Cross multiply
    7,983.66x = 11,973.44 × 3,305
  4. Step 4: Simplify right side
    7,983.66x = 39,572,219.20
  5. Step 5: Solve for x
    x = 39,572,219.20/7,983.66
  6. Step 6: Final answer
    x = 4,956.65

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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.