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Finding the Fourth Proportional to 8,230.02, 12,330.66 and 6,852.22

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Solution

The fourth proportional to 8,230.02, 12,330.66 and 6,852.22 is: 10,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.02 : 12,330.66 = 6,852.22 : x
  2. Step 2: Convert to fraction form
    8,230.02/12,330.66 = 6,852.22/x
  3. Step 3: Cross multiply
    8,230.02x = 12,330.66 × 6,852.22
  4. Step 4: Simplify right side
    8,230.02x = 84,492,395.07
  5. Step 5: Solve for x
    x = 84,492,395.07/8,230.02
  6. Step 6: Final answer
    x = 10,266.37

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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.