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Finding the Fourth Proportional to 7,672.86, 11,509.54 and 2,126.26

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Solution

The fourth proportional to 7,672.86, 11,509.54 and 2,126.26 is: 3,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.86 : 11,509.54 = 2,126.26 : x
  2. Step 2: Convert to fraction form
    7,672.86/11,509.54 = 2,126.26/x
  3. Step 3: Cross multiply
    7,672.86x = 11,509.54 × 2,126.26
  4. Step 4: Simplify right side
    7,672.86x = 24,472,240.43
  5. Step 5: Solve for x
    x = 24,472,240.43/7,672.86
  6. Step 6: Final answer
    x = 3,189.45

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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.