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Finding the Fourth Proportional to 8,402, 12,605.08 and 3,473.05

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Solution

The fourth proportional to 8,402, 12,605.08 and 3,473.05 is: 5,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402 : 12,605.08 = 3,473.05 : x
  2. Step 2: Convert to fraction form
    8,402/12,605.08 = 3,473.05/x
  3. Step 3: Cross multiply
    8,402x = 12,605.08 × 3,473.05
  4. Step 4: Simplify right side
    8,402x = 43,778,073.09
  5. Step 5: Solve for x
    x = 43,778,073.09/8,402
  6. Step 6: Final answer
    x = 5,210.43

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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.