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Finding the Fourth Proportional to 11,707.52, 16,156.26 and 6,402.44

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Solution

The fourth proportional to 11,707.52, 16,156.26 and 6,402.44 is: 8,835.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.52 : 16,156.26 = 6,402.44 : x
  2. Step 2: Convert to fraction form
    11,707.52/16,156.26 = 6,402.44/x
  3. Step 3: Cross multiply
    11,707.52x = 16,156.26 × 6,402.44
  4. Step 4: Simplify right side
    11,707.52x = 103,439,485.27
  5. Step 5: Solve for x
    x = 103,439,485.27/11,707.52
  6. Step 6: Final answer
    x = 8,835.30

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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.