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Finding the Fourth Proportional to 11,049.34, 16,574.01 and 5,206.41

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Solution

The fourth proportional to 11,049.34, 16,574.01 and 5,206.41 is: 7,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,049.34 : 16,574.01 = 5,206.41 : x
  2. Step 2: Convert to fraction form
    11,049.34/16,574.01 = 5,206.41/x
  3. Step 3: Cross multiply
    11,049.34x = 16,574.01 × 5,206.41
  4. Step 4: Simplify right side
    11,049.34x = 86,291,091.40
  5. Step 5: Solve for x
    x = 86,291,091.40/11,049.34
  6. Step 6: Final answer
    x = 7,809.62

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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.