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Finding the Fourth Proportional to 10,698.30, 16,043.58 and 5,697.59

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Solution

The fourth proportional to 10,698.30, 16,043.58 and 5,697.59 is: 8,544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.30 : 16,043.58 = 5,697.59 : x
  2. Step 2: Convert to fraction form
    10,698.30/16,043.58 = 5,697.59/x
  3. Step 3: Cross multiply
    10,698.30x = 16,043.58 × 5,697.59
  4. Step 4: Simplify right side
    10,698.30x = 91,409,759.01
  5. Step 5: Solve for x
    x = 91,409,759.01/10,698.30
  6. Step 6: Final answer
    x = 8,544.32

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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.