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Finding the Fourth Proportional to 10,453.62, 14,426.01 and 5,977.49

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Solution

The fourth proportional to 10,453.62, 14,426.01 and 5,977.49 is: 8,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.62 : 14,426.01 = 5,977.49 : x
  2. Step 2: Convert to fraction form
    10,453.62/14,426.01 = 5,977.49/x
  3. Step 3: Cross multiply
    10,453.62x = 14,426.01 × 5,977.49
  4. Step 4: Simplify right side
    10,453.62x = 86,231,258.38
  5. Step 5: Solve for x
    x = 86,231,258.38/10,453.62
  6. Step 6: Final answer
    x = 8,248.94

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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.