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Finding the Fourth Proportional to 11,527.86, 17,295.66 and 4,509.64

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Solution

The fourth proportional to 11,527.86, 17,295.66 and 4,509.64 is: 6,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.86 : 17,295.66 = 4,509.64 : x
  2. Step 2: Convert to fraction form
    11,527.86/17,295.66 = 4,509.64/x
  3. Step 3: Cross multiply
    11,527.86x = 17,295.66 × 4,509.64
  4. Step 4: Simplify right side
    11,527.86x = 77,997,200.16
  5. Step 5: Solve for x
    x = 77,997,200.16/11,527.86
  6. Step 6: Final answer
    x = 6,765.97

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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.