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Finding the Fourth Proportional to 11,595.75, 17,393.91 and 3,698.14

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Solution

The fourth proportional to 11,595.75, 17,393.91 and 3,698.14 is: 5,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.75 : 17,393.91 = 3,698.14 : x
  2. Step 2: Convert to fraction form
    11,595.75/17,393.91 = 3,698.14/x
  3. Step 3: Cross multiply
    11,595.75x = 17,393.91 × 3,698.14
  4. Step 4: Simplify right side
    11,595.75x = 64,325,114.33
  5. Step 5: Solve for x
    x = 64,325,114.33/11,595.75
  6. Step 6: Final answer
    x = 5,547.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.