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Finding the Fourth Proportional to 11,975.52, 17,966.16 and 4,184.16

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Solution

The fourth proportional to 11,975.52, 17,966.16 and 4,184.16 is: 6,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.52 : 17,966.16 = 4,184.16 : x
  2. Step 2: Convert to fraction form
    11,975.52/17,966.16 = 4,184.16/x
  3. Step 3: Cross multiply
    11,975.52x = 17,966.16 × 4,184.16
  4. Step 4: Simplify right side
    11,975.52x = 75,173,288.03
  5. Step 5: Solve for x
    x = 75,173,288.03/11,975.52
  6. Step 6: Final answer
    x = 6,277.25

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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.