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Finding the Fourth Proportional to 7,997.18, 11,036.16 and 4,642

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Solution

The fourth proportional to 7,997.18, 11,036.16 and 4,642 is: 6,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.18 : 11,036.16 = 4,642 : x
  2. Step 2: Convert to fraction form
    7,997.18/11,036.16 = 4,642/x
  3. Step 3: Cross multiply
    7,997.18x = 11,036.16 × 4,642
  4. Step 4: Simplify right side
    7,997.18x = 51,229,854.72
  5. Step 5: Solve for x
    x = 51,229,854.72/7,997.18
  6. Step 6: Final answer
    x = 6,405.99

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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.