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Finding the Fourth Proportional to 8,223.89, 12,326.58 and 4,055.07

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Solution

The fourth proportional to 8,223.89, 12,326.58 and 4,055.07 is: 6,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.89 : 12,326.58 = 4,055.07 : x
  2. Step 2: Convert to fraction form
    8,223.89/12,326.58 = 4,055.07/x
  3. Step 3: Cross multiply
    8,223.89x = 12,326.58 × 4,055.07
  4. Step 4: Simplify right side
    8,223.89x = 49,985,144.76
  5. Step 5: Solve for x
    x = 49,985,144.76/8,223.89
  6. Step 6: Final answer
    x = 6,078.05

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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.