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Finding the Fourth Proportional to 11,302.65, 16,972.20 and 8,532.45

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Solution

The fourth proportional to 11,302.65, 16,972.20 and 8,532.45 is: 12,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.65 : 16,972.20 = 8,532.45 : x
  2. Step 2: Convert to fraction form
    11,302.65/16,972.20 = 8,532.45/x
  3. Step 3: Cross multiply
    11,302.65x = 16,972.20 × 8,532.45
  4. Step 4: Simplify right side
    11,302.65x = 144,814,447.89
  5. Step 5: Solve for x
    x = 144,814,447.89/11,302.65
  6. Step 6: Final answer
    x = 12,812.43

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Why These Related Problems?

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