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Finding the Fourth Proportional to 11,709.59, 17,564.42 and 4,784.09

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Solution

The fourth proportional to 11,709.59, 17,564.42 and 4,784.09 is: 7,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.59 : 17,564.42 = 4,784.09 : x
  2. Step 2: Convert to fraction form
    11,709.59/17,564.42 = 4,784.09/x
  3. Step 3: Cross multiply
    11,709.59x = 17,564.42 × 4,784.09
  4. Step 4: Simplify right side
    11,709.59x = 84,029,742.16
  5. Step 5: Solve for x
    x = 84,029,742.16/11,709.59
  6. Step 6: Final answer
    x = 7,176.15

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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.