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Finding the Fourth Proportional to 10,453.80, 14,424.38 and 5,916.46

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Solution

The fourth proportional to 10,453.80, 14,424.38 and 5,916.46 is: 8,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.80 : 14,424.38 = 5,916.46 : x
  2. Step 2: Convert to fraction form
    10,453.80/14,424.38 = 5,916.46/x
  3. Step 3: Cross multiply
    10,453.80x = 14,424.38 × 5,916.46
  4. Step 4: Simplify right side
    10,453.80x = 85,341,195.17
  5. Step 5: Solve for x
    x = 85,341,195.17/10,453.80
  6. Step 6: Final answer
    x = 8,163.65

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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.