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Finding the Fourth Proportional to 10,833.10, 16,261.80 and 8,378.80

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Solution

The fourth proportional to 10,833.10, 16,261.80 and 8,378.80 is: 12,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.10 : 16,261.80 = 8,378.80 : x
  2. Step 2: Convert to fraction form
    10,833.10/16,261.80 = 8,378.80/x
  3. Step 3: Cross multiply
    10,833.10x = 16,261.80 × 8,378.80
  4. Step 4: Simplify right side
    10,833.10x = 136,254,369.84
  5. Step 5: Solve for x
    x = 136,254,369.84/10,833.10
  6. Step 6: Final answer
    x = 12,577.60

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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.