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Finding the Fourth Proportional to 11,742.70, 16,204.93 and 6,437.56

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Solution

The fourth proportional to 11,742.70, 16,204.93 and 6,437.56 is: 8,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.70 : 16,204.93 = 6,437.56 : x
  2. Step 2: Convert to fraction form
    11,742.70/16,204.93 = 6,437.56/x
  3. Step 3: Cross multiply
    11,742.70x = 16,204.93 × 6,437.56
  4. Step 4: Simplify right side
    11,742.70x = 104,320,176.71
  5. Step 5: Solve for x
    x = 104,320,176.71/11,742.70
  6. Step 6: Final answer
    x = 8,883.83

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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.