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Finding the Fourth Proportional to 11,454.27, 15,807.50 and 6,418.20

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Solution

The fourth proportional to 11,454.27, 15,807.50 and 6,418.20 is: 8,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.27 : 15,807.50 = 6,418.20 : x
  2. Step 2: Convert to fraction form
    11,454.27/15,807.50 = 6,418.20/x
  3. Step 3: Cross multiply
    11,454.27x = 15,807.50 × 6,418.20
  4. Step 4: Simplify right side
    11,454.27x = 101,455,664.41
  5. Step 5: Solve for x
    x = 101,455,664.41/11,454.27
  6. Step 6: Final answer
    x = 8,857.45

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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.