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Finding the Fourth Proportional to 10,941.60, 16,412.40 and 8,032.80

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Solution

The fourth proportional to 10,941.60, 16,412.40 and 8,032.80 is: 12,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.60 : 16,412.40 = 8,032.80 : x
  2. Step 2: Convert to fraction form
    10,941.60/16,412.40 = 8,032.80/x
  3. Step 3: Cross multiply
    10,941.60x = 16,412.40 × 8,032.80
  4. Step 4: Simplify right side
    10,941.60x = 131,837,526.72
  5. Step 5: Solve for x
    x = 131,837,526.72/10,941.60
  6. Step 6: Final answer
    x = 12,049.20

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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.