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Finding the Fourth Proportional to 10,333.36, 14,260.11 and 5,617.64

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Solution

The fourth proportional to 10,333.36, 14,260.11 and 5,617.64 is: 7,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.36 : 14,260.11 = 5,617.64 : x
  2. Step 2: Convert to fraction form
    10,333.36/14,260.11 = 5,617.64/x
  3. Step 3: Cross multiply
    10,333.36x = 14,260.11 × 5,617.64
  4. Step 4: Simplify right side
    10,333.36x = 80,108,199.99
  5. Step 5: Solve for x
    x = 80,108,199.99/10,333.36
  6. Step 6: Final answer
    x = 7,752.39

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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.