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Finding the Fourth Proportional to 10,416.69, 15,618.08 and 5,738.94

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Solution

The fourth proportional to 10,416.69, 15,618.08 and 5,738.94 is: 8,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.69 : 15,618.08 = 5,738.94 : x
  2. Step 2: Convert to fraction form
    10,416.69/15,618.08 = 5,738.94/x
  3. Step 3: Cross multiply
    10,416.69x = 15,618.08 × 5,738.94
  4. Step 4: Simplify right side
    10,416.69x = 89,631,195.34
  5. Step 5: Solve for x
    x = 89,631,195.34/10,416.69
  6. Step 6: Final answer
    x = 8,604.58

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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.