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Finding the Fourth Proportional to 10,823.40, 16,254.30 and 8,364.20

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Solution

The fourth proportional to 10,823.40, 16,254.30 and 8,364.20 is: 12,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.40 : 16,254.30 = 8,364.20 : x
  2. Step 2: Convert to fraction form
    10,823.40/16,254.30 = 8,364.20/x
  3. Step 3: Cross multiply
    10,823.40x = 16,254.30 × 8,364.20
  4. Step 4: Simplify right side
    10,823.40x = 135,954,216.06
  5. Step 5: Solve for x
    x = 135,954,216.06/10,823.40
  6. Step 6: Final answer
    x = 12,561.14

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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.