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Finding the Fourth Proportional to 11,598.47, 17,399.06 and 3,698.23

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Solution

The fourth proportional to 11,598.47, 17,399.06 and 3,698.23 is: 5,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.47 : 17,399.06 = 3,698.23 : x
  2. Step 2: Convert to fraction form
    11,598.47/17,399.06 = 3,698.23/x
  3. Step 3: Cross multiply
    11,598.47x = 17,399.06 × 3,698.23
  4. Step 4: Simplify right side
    11,598.47x = 64,345,725.66
  5. Step 5: Solve for x
    x = 64,345,725.66/11,598.47
  6. Step 6: Final answer
    x = 5,547.78

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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.