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Finding the Fourth Proportional to 10,698.24, 16,061.76 and 6,792.96

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Solution

The fourth proportional to 10,698.24, 16,061.76 and 6,792.96 is: 10,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.24 : 16,061.76 = 6,792.96 : x
  2. Step 2: Convert to fraction form
    10,698.24/16,061.76 = 6,792.96/x
  3. Step 3: Cross multiply
    10,698.24x = 16,061.76 × 6,792.96
  4. Step 4: Simplify right side
    10,698.24x = 109,106,893.21
  5. Step 5: Solve for x
    x = 109,106,893.21/10,698.24
  6. Step 6: Final answer
    x = 10,198.58

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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.