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Finding the Fourth Proportional to 7,837.35, 10,814.88 and 4,479.09

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Solution

The fourth proportional to 7,837.35, 10,814.88 and 4,479.09 is: 6,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.35 : 10,814.88 = 4,479.09 : x
  2. Step 2: Convert to fraction form
    7,837.35/10,814.88 = 4,479.09/x
  3. Step 3: Cross multiply
    7,837.35x = 10,814.88 × 4,479.09
  4. Step 4: Simplify right side
    7,837.35x = 48,440,820.86
  5. Step 5: Solve for x
    x = 48,440,820.86/7,837.35
  6. Step 6: Final answer
    x = 6,180.77

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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.