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Finding the Fourth Proportional to 11,532.28, 17,275.62 and 7,624.84

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Solution

The fourth proportional to 11,532.28, 17,275.62 and 7,624.84 is: 11,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.28 : 17,275.62 = 7,624.84 : x
  2. Step 2: Convert to fraction form
    11,532.28/17,275.62 = 7,624.84/x
  3. Step 3: Cross multiply
    11,532.28x = 17,275.62 × 7,624.84
  4. Step 4: Simplify right side
    11,532.28x = 131,723,838.40
  5. Step 5: Solve for x
    x = 131,723,838.40/11,532.28
  6. Step 6: Final answer
    x = 11,422.19

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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.