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Finding the Fourth Proportional to 7,636.17, 11,460.12 and 3,420.72

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Solution

The fourth proportional to 7,636.17, 11,460.12 and 3,420.72 is: 5,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.17 : 11,460.12 = 3,420.72 : x
  2. Step 2: Convert to fraction form
    7,636.17/11,460.12 = 3,420.72/x
  3. Step 3: Cross multiply
    7,636.17x = 11,460.12 × 3,420.72
  4. Step 4: Simplify right side
    7,636.17x = 39,201,861.69
  5. Step 5: Solve for x
    x = 39,201,861.69/7,636.17
  6. Step 6: Final answer
    x = 5,133.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.