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Finding the Fourth Proportional to 11,407.37, 15,742.00 and 6,371.66

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Solution

The fourth proportional to 11,407.37, 15,742.00 and 6,371.66 is: 8,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.37 : 15,742.00 = 6,371.66 : x
  2. Step 2: Convert to fraction form
    11,407.37/15,742.00 = 6,371.66/x
  3. Step 3: Cross multiply
    11,407.37x = 15,742.00 × 6,371.66
  4. Step 4: Simplify right side
    11,407.37x = 100,302,687.65
  5. Step 5: Solve for x
    x = 100,302,687.65/11,407.37
  6. Step 6: Final answer
    x = 8,792.80

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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.