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Finding the Fourth Proportional to 8,404.38, 11,598.35 and 4,627.71

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Solution

The fourth proportional to 8,404.38, 11,598.35 and 4,627.71 is: 6,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.38 : 11,598.35 = 4,627.71 : x
  2. Step 2: Convert to fraction form
    8,404.38/11,598.35 = 4,627.71/x
  3. Step 3: Cross multiply
    8,404.38x = 11,598.35 × 4,627.71
  4. Step 4: Simplify right side
    8,404.38x = 53,673,777.14
  5. Step 5: Solve for x
    x = 53,673,777.14/8,404.38
  6. Step 6: Final answer
    x = 6,386.41

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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.