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Finding the Fourth Proportional to 11,901.63, 16,422.53 and 6,596.44

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Solution

The fourth proportional to 11,901.63, 16,422.53 and 6,596.44 is: 9,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.63 : 16,422.53 = 6,596.44 : x
  2. Step 2: Convert to fraction form
    11,901.63/16,422.53 = 6,596.44/x
  3. Step 3: Cross multiply
    11,901.63x = 16,422.53 × 6,596.44
  4. Step 4: Simplify right side
    11,901.63x = 108,330,159.75
  5. Step 5: Solve for x
    x = 108,330,159.75/11,901.63
  6. Step 6: Final answer
    x = 9,102.13

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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.