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Finding the Fourth Proportional to 11,709.54, 17,564.04 and 3,275.82

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Solution

The fourth proportional to 11,709.54, 17,564.04 and 3,275.82 is: 4,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.54 : 17,564.04 = 3,275.82 : x
  2. Step 2: Convert to fraction form
    11,709.54/17,564.04 = 3,275.82/x
  3. Step 3: Cross multiply
    11,709.54x = 17,564.04 × 3,275.82
  4. Step 4: Simplify right side
    11,709.54x = 57,536,633.51
  5. Step 5: Solve for x
    x = 57,536,633.51/11,709.54
  6. Step 6: Final answer
    x = 4,913.65

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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.