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Finding the Fourth Proportional to 7,837.40, 10,814.92 and 4,479.54

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Solution

The fourth proportional to 7,837.40, 10,814.92 and 4,479.54 is: 6,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.40 : 10,814.92 = 4,479.54 : x
  2. Step 2: Convert to fraction form
    7,837.40/10,814.92 = 4,479.54/x
  3. Step 3: Cross multiply
    7,837.40x = 10,814.92 × 4,479.54
  4. Step 4: Simplify right side
    7,837.40x = 48,445,866.74
  5. Step 5: Solve for x
    x = 48,445,866.74/7,837.40
  6. Step 6: Final answer
    x = 6,181.37

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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.