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Finding the Fourth Proportional to 8,214.93, 12,323.51 and 2,666.46

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Solution

The fourth proportional to 8,214.93, 12,323.51 and 2,666.46 is: 4,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.93 : 12,323.51 = 2,666.46 : x
  2. Step 2: Convert to fraction form
    8,214.93/12,323.51 = 2,666.46/x
  3. Step 3: Cross multiply
    8,214.93x = 12,323.51 × 2,666.46
  4. Step 4: Simplify right side
    8,214.93x = 32,860,189.35
  5. Step 5: Solve for x
    x = 32,860,189.35/8,214.93
  6. Step 6: Final answer
    x = 4,000.06

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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.