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Finding the Fourth Proportional to 11,202.64, 16,802.68 and 2,994

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Solution

The fourth proportional to 11,202.64, 16,802.68 and 2,994 is: 4,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.64 : 16,802.68 = 2,994 : x
  2. Step 2: Convert to fraction form
    11,202.64/16,802.68 = 2,994/x
  3. Step 3: Cross multiply
    11,202.64x = 16,802.68 × 2,994
  4. Step 4: Simplify right side
    11,202.64x = 50,307,223.92
  5. Step 5: Solve for x
    x = 50,307,223.92/11,202.64
  6. Step 6: Final answer
    x = 4,490.66

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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.