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Finding the Fourth Proportional to 8,293.74, 11,445.24 and 4,756.86

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Solution

The fourth proportional to 8,293.74, 11,445.24 and 4,756.86 is: 6,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.74 : 11,445.24 = 4,756.86 : x
  2. Step 2: Convert to fraction form
    8,293.74/11,445.24 = 4,756.86/x
  3. Step 3: Cross multiply
    8,293.74x = 11,445.24 × 4,756.86
  4. Step 4: Simplify right side
    8,293.74x = 54,443,404.35
  5. Step 5: Solve for x
    x = 54,443,404.35/8,293.74
  6. Step 6: Final answer
    x = 6,564.40

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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.