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Finding the Fourth Proportional to 11,698.23, 16,143.47 and 6,593.28

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Solution

The fourth proportional to 11,698.23, 16,143.47 and 6,593.28 is: 9,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.23 : 16,143.47 = 6,593.28 : x
  2. Step 2: Convert to fraction form
    11,698.23/16,143.47 = 6,593.28/x
  3. Step 3: Cross multiply
    11,698.23x = 16,143.47 × 6,593.28
  4. Step 4: Simplify right side
    11,698.23x = 106,438,384.92
  5. Step 5: Solve for x
    x = 106,438,384.92/11,698.23
  6. Step 6: Final answer
    x = 9,098.67

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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.