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Finding the Fourth Proportional to 7,838.42, 10,814.63 and 4,481.06

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Solution

The fourth proportional to 7,838.42, 10,814.63 and 4,481.06 is: 6,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.42 : 10,814.63 = 4,481.06 : x
  2. Step 2: Convert to fraction form
    7,838.42/10,814.63 = 4,481.06/x
  3. Step 3: Cross multiply
    7,838.42x = 10,814.63 × 4,481.06
  4. Step 4: Simplify right side
    7,838.42x = 48,460,929.43
  5. Step 5: Solve for x
    x = 48,460,929.43/7,838.42
  6. Step 6: Final answer
    x = 6,182.49

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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.