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Finding the Fourth Proportional to 8,431.90, 12,655.63 and 4,274.81

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Solution

The fourth proportional to 8,431.90, 12,655.63 and 4,274.81 is: 6,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.90 : 12,655.63 = 4,274.81 : x
  2. Step 2: Convert to fraction form
    8,431.90/12,655.63 = 4,274.81/x
  3. Step 3: Cross multiply
    8,431.90x = 12,655.63 × 4,274.81
  4. Step 4: Simplify right side
    8,431.90x = 54,100,450.66
  5. Step 5: Solve for x
    x = 54,100,450.66/8,431.90
  6. Step 6: Final answer
    x = 6,416.16

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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.