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Finding the Fourth Proportional to 8,293.85, 11,445.49 and 4,516.96

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Solution

The fourth proportional to 8,293.85, 11,445.49 and 4,516.96 is: 6,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.85 : 11,445.49 = 4,516.96 : x
  2. Step 2: Convert to fraction form
    8,293.85/11,445.49 = 4,516.96/x
  3. Step 3: Cross multiply
    8,293.85x = 11,445.49 × 4,516.96
  4. Step 4: Simplify right side
    8,293.85x = 51,698,820.51
  5. Step 5: Solve for x
    x = 51,698,820.51/8,293.85
  6. Step 6: Final answer
    x = 6,233.39

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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.