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Finding the Fourth Proportional to 10,996.34, 16,484.49 and 5,725.15

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Solution

The fourth proportional to 10,996.34, 16,484.49 and 5,725.15 is: 8,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.34 : 16,484.49 = 5,725.15 : x
  2. Step 2: Convert to fraction form
    10,996.34/16,484.49 = 5,725.15/x
  3. Step 3: Cross multiply
    10,996.34x = 16,484.49 × 5,725.15
  4. Step 4: Simplify right side
    10,996.34x = 94,376,136.71
  5. Step 5: Solve for x
    x = 94,376,136.71/10,996.34
  6. Step 6: Final answer
    x = 8,582.51

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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.