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Finding the Fourth Proportional to 11,530.96, 17,296.74 and 3,210.94

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Solution

The fourth proportional to 11,530.96, 17,296.74 and 3,210.94 is: 4,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.96 : 17,296.74 = 3,210.94 : x
  2. Step 2: Convert to fraction form
    11,530.96/17,296.74 = 3,210.94/x
  3. Step 3: Cross multiply
    11,530.96x = 17,296.74 × 3,210.94
  4. Step 4: Simplify right side
    11,530.96x = 55,538,815.96
  5. Step 5: Solve for x
    x = 55,538,815.96/11,530.96
  6. Step 6: Final answer
    x = 4,816.50

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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.