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Finding the Fourth Proportional to 11,007.84, 16,500.90 and 7,047.83

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Solution

The fourth proportional to 11,007.84, 16,500.90 and 7,047.83 is: 10,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.84 : 16,500.90 = 7,047.83 : x
  2. Step 2: Convert to fraction form
    11,007.84/16,500.90 = 7,047.83/x
  3. Step 3: Cross multiply
    11,007.84x = 16,500.90 × 7,047.83
  4. Step 4: Simplify right side
    11,007.84x = 116,295,473.27
  5. Step 5: Solve for x
    x = 116,295,473.27/11,007.84
  6. Step 6: Final answer
    x = 10,564.79

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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.