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Finding the Fourth Proportional to 7,983.40, 11,018.16 and 5,752.66

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Solution

The fourth proportional to 7,983.40, 11,018.16 and 5,752.66 is: 7,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.40 : 11,018.16 = 5,752.66 : x
  2. Step 2: Convert to fraction form
    7,983.40/11,018.16 = 5,752.66/x
  3. Step 3: Cross multiply
    7,983.40x = 11,018.16 × 5,752.66
  4. Step 4: Simplify right side
    7,983.40x = 63,383,728.31
  5. Step 5: Solve for x
    x = 63,383,728.31/7,983.40
  6. Step 6: Final answer
    x = 7,939.44

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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.