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Finding the Fourth Proportional to 11,407.94, 15,742.78 and 6,372.23

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Solution

The fourth proportional to 11,407.94, 15,742.78 and 6,372.23 is: 8,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.94 : 15,742.78 = 6,372.23 : x
  2. Step 2: Convert to fraction form
    11,407.94/15,742.78 = 6,372.23/x
  3. Step 3: Cross multiply
    11,407.94x = 15,742.78 × 6,372.23
  4. Step 4: Simplify right side
    11,407.94x = 100,316,662.32
  5. Step 5: Solve for x
    x = 100,316,662.32/11,407.94
  6. Step 6: Final answer
    x = 8,793.58

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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.