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Finding the Fourth Proportional to 11,486.78, 15,851.57 and 6,382.19

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Solution

The fourth proportional to 11,486.78, 15,851.57 and 6,382.19 is: 8,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.78 : 15,851.57 = 6,382.19 : x
  2. Step 2: Convert to fraction form
    11,486.78/15,851.57 = 6,382.19/x
  3. Step 3: Cross multiply
    11,486.78x = 15,851.57 × 6,382.19
  4. Step 4: Simplify right side
    11,486.78x = 101,167,775.16
  5. Step 5: Solve for x
    x = 101,167,775.16/11,486.78
  6. Step 6: Final answer
    x = 8,807.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.