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Finding the Fourth Proportional to 7,851.90, 10,835.43 and 4,494.50

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Solution

The fourth proportional to 7,851.90, 10,835.43 and 4,494.50 is: 6,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.90 : 10,835.43 = 4,494.50 : x
  2. Step 2: Convert to fraction form
    7,851.90/10,835.43 = 4,494.50/x
  3. Step 3: Cross multiply
    7,851.90x = 10,835.43 × 4,494.50
  4. Step 4: Simplify right side
    7,851.90x = 48,699,785.96
  5. Step 5: Solve for x
    x = 48,699,785.96/7,851.90
  6. Step 6: Final answer
    x = 6,202.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.