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Finding the Fourth Proportional to 8,223.88, 12,362.55 and 6,598.21

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Solution

The fourth proportional to 8,223.88, 12,362.55 and 6,598.21 is: 9,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.88 : 12,362.55 = 6,598.21 : x
  2. Step 2: Convert to fraction form
    8,223.88/12,362.55 = 6,598.21/x
  3. Step 3: Cross multiply
    8,223.88x = 12,362.55 × 6,598.21
  4. Step 4: Simplify right side
    8,223.88x = 81,570,701.04
  5. Step 5: Solve for x
    x = 81,570,701.04/8,223.88
  6. Step 6: Final answer
    x = 9,918.76

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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.