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Finding the Fourth Proportional to 8,582.28, 11,843.43 and 4,805.46

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Solution

The fourth proportional to 8,582.28, 11,843.43 and 4,805.46 is: 6,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.28 : 11,843.43 = 4,805.46 : x
  2. Step 2: Convert to fraction form
    8,582.28/11,843.43 = 4,805.46/x
  3. Step 3: Cross multiply
    8,582.28x = 11,843.43 × 4,805.46
  4. Step 4: Simplify right side
    8,582.28x = 56,913,129.13
  5. Step 5: Solve for x
    x = 56,913,129.13/8,582.28
  6. Step 6: Final answer
    x = 6,631.47

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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.