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Finding the Fourth Proportional to 10,698.56, 16,035.68 and 6,697.80

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Solution

The fourth proportional to 10,698.56, 16,035.68 and 6,697.80 is: 10,039.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.56 : 16,035.68 = 6,697.80 : x
  2. Step 2: Convert to fraction form
    10,698.56/16,035.68 = 6,697.80/x
  3. Step 3: Cross multiply
    10,698.56x = 16,035.68 × 6,697.80
  4. Step 4: Simplify right side
    10,698.56x = 107,403,777.50
  5. Step 5: Solve for x
    x = 107,403,777.50/10,698.56
  6. Step 6: Final answer
    x = 10,039.09

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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.