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Finding the Fourth Proportional to 11,213.63, 15,474.40 and 6,497

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Solution

The fourth proportional to 11,213.63, 15,474.40 and 6,497 is: 8,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.63 : 15,474.40 = 6,497 : x
  2. Step 2: Convert to fraction form
    11,213.63/15,474.40 = 6,497/x
  3. Step 3: Cross multiply
    11,213.63x = 15,474.40 × 6,497
  4. Step 4: Simplify right side
    11,213.63x = 100,537,176.80
  5. Step 5: Solve for x
    x = 100,537,176.80/11,213.63
  6. Step 6: Final answer
    x = 8,965.62

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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.