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Finding the Fourth Proportional to 10,453.66, 15,680.50 and 4,614.37

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Solution

The fourth proportional to 10,453.66, 15,680.50 and 4,614.37 is: 6,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.66 : 15,680.50 = 4,614.37 : x
  2. Step 2: Convert to fraction form
    10,453.66/15,680.50 = 4,614.37/x
  3. Step 3: Cross multiply
    10,453.66x = 15,680.50 × 4,614.37
  4. Step 4: Simplify right side
    10,453.66x = 72,355,666.25
  5. Step 5: Solve for x
    x = 72,355,666.25/10,453.66
  6. Step 6: Final answer
    x = 6,921.56

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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.