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Finding the Fourth Proportional to 11,709.01, 16,158.10 and 6,403.49

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Solution

The fourth proportional to 11,709.01, 16,158.10 and 6,403.49 is: 8,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.01 : 16,158.10 = 6,403.49 : x
  2. Step 2: Convert to fraction form
    11,709.01/16,158.10 = 6,403.49/x
  3. Step 3: Cross multiply
    11,709.01x = 16,158.10 × 6,403.49
  4. Step 4: Simplify right side
    11,709.01x = 103,468,207.57
  5. Step 5: Solve for x
    x = 103,468,207.57/11,709.01
  6. Step 6: Final answer
    x = 8,836.63

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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.