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Finding the Fourth Proportional to 11,709.00, 17,569.26 and 5,468.10

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Solution

The fourth proportional to 11,709.00, 17,569.26 and 5,468.10 is: 8,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.00 : 17,569.26 = 5,468.10 : x
  2. Step 2: Convert to fraction form
    11,709.00/17,569.26 = 5,468.10/x
  3. Step 3: Cross multiply
    11,709.00x = 17,569.26 × 5,468.10
  4. Step 4: Simplify right side
    11,709.00x = 96,070,483.51
  5. Step 5: Solve for x
    x = 96,070,483.51/11,709.00
  6. Step 6: Final answer
    x = 8,204.84

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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.