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Finding the Fourth Proportional to 11,494.90, 15,861.79 and 6,458.32

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Solution

The fourth proportional to 11,494.90, 15,861.79 and 6,458.32 is: 8,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.90 : 15,861.79 = 6,458.32 : x
  2. Step 2: Convert to fraction form
    11,494.90/15,861.79 = 6,458.32/x
  3. Step 3: Cross multiply
    11,494.90x = 15,861.79 × 6,458.32
  4. Step 4: Simplify right side
    11,494.90x = 102,440,515.59
  5. Step 5: Solve for x
    x = 102,440,515.59/11,494.90
  6. Step 6: Final answer
    x = 8,911.82

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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.