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Finding the Fourth Proportional to 8,509.72, 11,739.09 and 5,527.21

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Solution

The fourth proportional to 8,509.72, 11,739.09 and 5,527.21 is: 7,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.72 : 11,739.09 = 5,527.21 : x
  2. Step 2: Convert to fraction form
    8,509.72/11,739.09 = 5,527.21/x
  3. Step 3: Cross multiply
    8,509.72x = 11,739.09 × 5,527.21
  4. Step 4: Simplify right side
    8,509.72x = 64,884,415.64
  5. Step 5: Solve for x
    x = 64,884,415.64/8,509.72
  6. Step 6: Final answer
    x = 7,624.74

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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.