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Finding the Fourth Proportional to 7,814.21, 11,705.51 and 4,843.53

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Solution

The fourth proportional to 7,814.21, 11,705.51 and 4,843.53 is: 7,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.21 : 11,705.51 = 4,843.53 : x
  2. Step 2: Convert to fraction form
    7,814.21/11,705.51 = 4,843.53/x
  3. Step 3: Cross multiply
    7,814.21x = 11,705.51 × 4,843.53
  4. Step 4: Simplify right side
    7,814.21x = 56,696,000.96
  5. Step 5: Solve for x
    x = 56,696,000.96/7,814.21
  6. Step 6: Final answer
    x = 7,255.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.