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Finding the Fourth Proportional to 10,434.99, 14,399.78 and 5,897.58

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Solution

The fourth proportional to 10,434.99, 14,399.78 and 5,897.58 is: 8,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.99 : 14,399.78 = 5,897.58 : x
  2. Step 2: Convert to fraction form
    10,434.99/14,399.78 = 5,897.58/x
  3. Step 3: Cross multiply
    10,434.99x = 14,399.78 × 5,897.58
  4. Step 4: Simplify right side
    10,434.99x = 84,923,771.05
  5. Step 5: Solve for x
    x = 84,923,771.05/10,434.99
  6. Step 6: Final answer
    x = 8,138.36

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