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Finding the Fourth Proportional to 10,971.63, 16,436.07 and 7,262.82

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Solution

The fourth proportional to 10,971.63, 16,436.07 and 7,262.82 is: 10,880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.63 : 16,436.07 = 7,262.82 : x
  2. Step 2: Convert to fraction form
    10,971.63/16,436.07 = 7,262.82/x
  3. Step 3: Cross multiply
    10,971.63x = 16,436.07 × 7,262.82
  4. Step 4: Simplify right side
    10,971.63x = 119,372,217.92
  5. Step 5: Solve for x
    x = 119,372,217.92/10,971.63
  6. Step 6: Final answer
    x = 10,880.08

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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.