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Finding the Fourth Proportional to 11,709.97, 17,564.98 and 4,784.47

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Solution

The fourth proportional to 11,709.97, 17,564.98 and 4,784.47 is: 7,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.97 : 17,564.98 = 4,784.47 : x
  2. Step 2: Convert to fraction form
    11,709.97/17,564.98 = 4,784.47/x
  3. Step 3: Cross multiply
    11,709.97x = 17,564.98 × 4,784.47
  4. Step 4: Simplify right side
    11,709.97x = 84,039,032.04
  5. Step 5: Solve for x
    x = 84,039,032.04/11,709.97
  6. Step 6: Final answer
    x = 7,176.71

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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.