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Finding the Fourth Proportional to 10,396.56, 14,350.38 and 7,253.76

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Solution

The fourth proportional to 10,396.56, 14,350.38 and 7,253.76 is: 10,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.56 : 14,350.38 = 7,253.76 : x
  2. Step 2: Convert to fraction form
    10,396.56/14,350.38 = 7,253.76/x
  3. Step 3: Cross multiply
    10,396.56x = 14,350.38 × 7,253.76
  4. Step 4: Simplify right side
    10,396.56x = 104,094,212.43
  5. Step 5: Solve for x
    x = 104,094,212.43/10,396.56
  6. Step 6: Final answer
    x = 10,012.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.