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Finding the Fourth Proportional to 10,609.63, 15,914.76 and 5,063.56

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Solution

The fourth proportional to 10,609.63, 15,914.76 and 5,063.56 is: 7,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.63 : 15,914.76 = 5,063.56 : x
  2. Step 2: Convert to fraction form
    10,609.63/15,914.76 = 5,063.56/x
  3. Step 3: Cross multiply
    10,609.63x = 15,914.76 × 5,063.56
  4. Step 4: Simplify right side
    10,609.63x = 80,585,342.15
  5. Step 5: Solve for x
    x = 80,585,342.15/10,609.63
  6. Step 6: Final answer
    x = 7,595.49

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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.