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Finding the Fourth Proportional to 11,153.36, 16,724.28 and 4,994

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Solution

The fourth proportional to 11,153.36, 16,724.28 and 4,994 is: 7,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.36 : 16,724.28 = 4,994 : x
  2. Step 2: Convert to fraction form
    11,153.36/16,724.28 = 4,994/x
  3. Step 3: Cross multiply
    11,153.36x = 16,724.28 × 4,994
  4. Step 4: Simplify right side
    11,153.36x = 83,521,054.32
  5. Step 5: Solve for x
    x = 83,521,054.32/11,153.36
  6. Step 6: Final answer
    x = 7,488.42

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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.