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Finding the Fourth Proportional to 11,486.86, 15,851.42 and 6,382.24

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Solution

The fourth proportional to 11,486.86, 15,851.42 and 6,382.24 is: 8,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.86 : 15,851.42 = 6,382.24 : x
  2. Step 2: Convert to fraction form
    11,486.86/15,851.42 = 6,382.24/x
  3. Step 3: Cross multiply
    11,486.86x = 15,851.42 × 6,382.24
  4. Step 4: Simplify right side
    11,486.86x = 101,167,495.24
  5. Step 5: Solve for x
    x = 101,167,495.24/11,486.86
  6. Step 6: Final answer
    x = 8,807.24

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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.