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Finding the Fourth Proportional to 11,356, 17,019.58 and 5,109.32

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Solution

The fourth proportional to 11,356, 17,019.58 and 5,109.32 is: 7,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356 : 17,019.58 = 5,109.32 : x
  2. Step 2: Convert to fraction form
    11,356/17,019.58 = 5,109.32/x
  3. Step 3: Cross multiply
    11,356x = 17,019.58 × 5,109.32
  4. Step 4: Simplify right side
    11,356x = 86,958,480.49
  5. Step 5: Solve for x
    x = 86,958,480.49/11,356
  6. Step 6: Final answer
    x = 7,657.49

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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.