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Finding the Fourth Proportional to 10,698.20, 16,035.74 and 4,456.54

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Solution

The fourth proportional to 10,698.20, 16,035.74 and 4,456.54 is: 6,679.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.20 : 16,035.74 = 4,456.54 : x
  2. Step 2: Convert to fraction form
    10,698.20/16,035.74 = 4,456.54/x
  3. Step 3: Cross multiply
    10,698.20x = 16,035.74 × 4,456.54
  4. Step 4: Simplify right side
    10,698.20x = 71,463,916.74
  5. Step 5: Solve for x
    x = 71,463,916.74/10,698.20
  6. Step 6: Final answer
    x = 6,679.99

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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.