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Finding the Fourth Proportional to 7,096.34, 10,645.67 and 2,415.87

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Solution

The fourth proportional to 7,096.34, 10,645.67 and 2,415.87 is: 3,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.34 : 10,645.67 = 2,415.87 : x
  2. Step 2: Convert to fraction form
    7,096.34/10,645.67 = 2,415.87/x
  3. Step 3: Cross multiply
    7,096.34x = 10,645.67 × 2,415.87
  4. Step 4: Simplify right side
    7,096.34x = 25,718,501.55
  5. Step 5: Solve for x
    x = 25,718,501.55/7,096.34
  6. Step 6: Final answer
    x = 3,624.19

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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.