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Finding the Fourth Proportional to 7,898.34, 11,850.98 and 3,741.32

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Solution

The fourth proportional to 7,898.34, 11,850.98 and 3,741.32 is: 5,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.34 : 11,850.98 = 3,741.32 : x
  2. Step 2: Convert to fraction form
    7,898.34/11,850.98 = 3,741.32/x
  3. Step 3: Cross multiply
    7,898.34x = 11,850.98 × 3,741.32
  4. Step 4: Simplify right side
    7,898.34x = 44,338,319.41
  5. Step 5: Solve for x
    x = 44,338,319.41/7,898.34
  6. Step 6: Final answer
    x = 5,613.62

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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.