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Finding the Fourth Proportional to 11,756.80, 16,224.40 and 6,451.64

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Solution

The fourth proportional to 11,756.80, 16,224.40 and 6,451.64 is: 8,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.80 : 16,224.40 = 6,451.64 : x
  2. Step 2: Convert to fraction form
    11,756.80/16,224.40 = 6,451.64/x
  3. Step 3: Cross multiply
    11,756.80x = 16,224.40 × 6,451.64
  4. Step 4: Simplify right side
    11,756.80x = 104,673,988.02
  5. Step 5: Solve for x
    x = 104,673,988.02/11,756.80
  6. Step 6: Final answer
    x = 8,903.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.