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Finding the Fourth Proportional to 11,527.97, 17,289.18 and 5,284.08

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Solution

The fourth proportional to 11,527.97, 17,289.18 and 5,284.08 is: 7,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.97 : 17,289.18 = 5,284.08 : x
  2. Step 2: Convert to fraction form
    11,527.97/17,289.18 = 5,284.08/x
  3. Step 3: Cross multiply
    11,527.97x = 17,289.18 × 5,284.08
  4. Step 4: Simplify right side
    11,527.97x = 91,357,410.25
  5. Step 5: Solve for x
    x = 91,357,410.25/11,527.97
  6. Step 6: Final answer
    x = 7,924.85

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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.