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Finding the Fourth Proportional to 10,841.60, 16,262.32 and 3,446.64

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Solution

The fourth proportional to 10,841.60, 16,262.32 and 3,446.64 is: 5,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.60 : 16,262.32 = 3,446.64 : x
  2. Step 2: Convert to fraction form
    10,841.60/16,262.32 = 3,446.64/x
  3. Step 3: Cross multiply
    10,841.60x = 16,262.32 × 3,446.64
  4. Step 4: Simplify right side
    10,841.60x = 56,050,362.60
  5. Step 5: Solve for x
    x = 56,050,362.60/10,841.60
  6. Step 6: Final answer
    x = 5,169.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.