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Finding the Fourth Proportional to 10,744.35, 16,123 and 4,588.35

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Solution

The fourth proportional to 10,744.35, 16,123 and 4,588.35 is: 6,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.35 : 16,123 = 4,588.35 : x
  2. Step 2: Convert to fraction form
    10,744.35/16,123 = 4,588.35/x
  3. Step 3: Cross multiply
    10,744.35x = 16,123 × 4,588.35
  4. Step 4: Simplify right side
    10,744.35x = 73,977,967.05
  5. Step 5: Solve for x
    x = 73,977,967.05/10,744.35
  6. Step 6: Final answer
    x = 6,885.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.