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Finding the Fourth Proportional to 7,365.84, 11,051.80 and 2,982.18

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Solution

The fourth proportional to 7,365.84, 11,051.80 and 2,982.18 is: 4,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.84 : 11,051.80 = 2,982.18 : x
  2. Step 2: Convert to fraction form
    7,365.84/11,051.80 = 2,982.18/x
  3. Step 3: Cross multiply
    7,365.84x = 11,051.80 × 2,982.18
  4. Step 4: Simplify right side
    7,365.84x = 32,958,456.92
  5. Step 5: Solve for x
    x = 32,958,456.92/7,365.84
  6. Step 6: Final answer
    x = 4,474.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.