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Finding the Fourth Proportional to 6,890.51, 10,333.94 and 2,994

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Solution

The fourth proportional to 6,890.51, 10,333.94 and 2,994 is: 4,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.51 : 10,333.94 = 2,994 : x
  2. Step 2: Convert to fraction form
    6,890.51/10,333.94 = 2,994/x
  3. Step 3: Cross multiply
    6,890.51x = 10,333.94 × 2,994
  4. Step 4: Simplify right side
    6,890.51x = 30,939,801.39
  5. Step 5: Solve for x
    x = 30,939,801.39/6,890.51
  6. Step 6: Final answer
    x = 4,490.21

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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.