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Finding the Fourth Proportional to 10,453.58, 14,426.18 and 5,737.86

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Solution

The fourth proportional to 10,453.58, 14,426.18 and 5,737.86 is: 7,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.58 : 14,426.18 = 5,737.86 : x
  2. Step 2: Convert to fraction form
    10,453.58/14,426.18 = 5,737.86/x
  3. Step 3: Cross multiply
    10,453.58x = 14,426.18 × 5,737.86
  4. Step 4: Simplify right side
    10,453.58x = 82,775,401.17
  5. Step 5: Solve for x
    x = 82,775,401.17/10,453.58
  6. Step 6: Final answer
    x = 7,918.38

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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.