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Finding the Fourth Proportional to 11,842.83, 16,343.34 and 6,465.54

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Solution

The fourth proportional to 11,842.83, 16,343.34 and 6,465.54 is: 8,922.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.83 : 16,343.34 = 6,465.54 : x
  2. Step 2: Convert to fraction form
    11,842.83/16,343.34 = 6,465.54/x
  3. Step 3: Cross multiply
    11,842.83x = 16,343.34 × 6,465.54
  4. Step 4: Simplify right side
    11,842.83x = 105,668,518.50
  5. Step 5: Solve for x
    x = 105,668,518.50/11,842.83
  6. Step 6: Final answer
    x = 8,922.57

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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.