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Finding the Fourth Proportional to 11,407.50, 15,742.69 and 6,371.93

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Solution

The fourth proportional to 11,407.50, 15,742.69 and 6,371.93 is: 8,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.50 : 15,742.69 = 6,371.93 : x
  2. Step 2: Convert to fraction form
    11,407.50/15,742.69 = 6,371.93/x
  3. Step 3: Cross multiply
    11,407.50x = 15,742.69 × 6,371.93
  4. Step 4: Simplify right side
    11,407.50x = 100,311,342.12
  5. Step 5: Solve for x
    x = 100,311,342.12/11,407.50
  6. Step 6: Final answer
    x = 8,793.46

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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.