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Finding the Fourth Proportional to 11,709.96, 16,158.85 and 6,404.59

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Solution

The fourth proportional to 11,709.96, 16,158.85 and 6,404.59 is: 8,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.96 : 16,158.85 = 6,404.59 : x
  2. Step 2: Convert to fraction form
    11,709.96/16,158.85 = 6,404.59/x
  3. Step 3: Cross multiply
    11,709.96x = 16,158.85 × 6,404.59
  4. Step 4: Simplify right side
    11,709.96x = 103,490,809.12
  5. Step 5: Solve for x
    x = 103,490,809.12/11,709.96
  6. Step 6: Final answer
    x = 8,837.84

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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.