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Finding the Fourth Proportional to 8,404.12, 11,597.70 and 4,627

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Solution

The fourth proportional to 8,404.12, 11,597.70 and 4,627 is: 6,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.12 : 11,597.70 = 4,627 : x
  2. Step 2: Convert to fraction form
    8,404.12/11,597.70 = 4,627/x
  3. Step 3: Cross multiply
    8,404.12x = 11,597.70 × 4,627
  4. Step 4: Simplify right side
    8,404.12x = 53,662,557.90
  5. Step 5: Solve for x
    x = 53,662,557.90/8,404.12
  6. Step 6: Final answer
    x = 6,385.27

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