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Finding the Fourth Proportional to 11,356.32, 17,012.98 and 6,410.94

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Solution

The fourth proportional to 11,356.32, 17,012.98 and 6,410.94 is: 9,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.32 : 17,012.98 = 6,410.94 : x
  2. Step 2: Convert to fraction form
    11,356.32/17,012.98 = 6,410.94/x
  3. Step 3: Cross multiply
    11,356.32x = 17,012.98 × 6,410.94
  4. Step 4: Simplify right side
    11,356.32x = 109,069,194.00
  5. Step 5: Solve for x
    x = 109,069,194.00/11,356.32
  6. Step 6: Final answer
    x = 9,604.27

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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.