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Finding the Fourth Proportional to 7,802.22, 11,692.27 and 6,039.02

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Solution

The fourth proportional to 7,802.22, 11,692.27 and 6,039.02 is: 9,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.22 : 11,692.27 = 6,039.02 : x
  2. Step 2: Convert to fraction form
    7,802.22/11,692.27 = 6,039.02/x
  3. Step 3: Cross multiply
    7,802.22x = 11,692.27 × 6,039.02
  4. Step 4: Simplify right side
    7,802.22x = 70,609,822.18
  5. Step 5: Solve for x
    x = 70,609,822.18/7,802.22
  6. Step 6: Final answer
    x = 9,049.97

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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.