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Finding the Fourth Proportional to 11,709.32, 16,158.90 and 6,404.12

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Solution

The fourth proportional to 11,709.32, 16,158.90 and 6,404.12 is: 8,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.32 : 16,158.90 = 6,404.12 : x
  2. Step 2: Convert to fraction form
    11,709.32/16,158.90 = 6,404.12/x
  3. Step 3: Cross multiply
    11,709.32x = 16,158.90 × 6,404.12
  4. Step 4: Simplify right side
    11,709.32x = 103,483,534.67
  5. Step 5: Solve for x
    x = 103,483,534.67/11,709.32
  6. Step 6: Final answer
    x = 8,837.71

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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.