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Finding the Fourth Proportional to 7,693.50, 11,541.06 and 3,532.80

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Solution

The fourth proportional to 7,693.50, 11,541.06 and 3,532.80 is: 5,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.50 : 11,541.06 = 3,532.80 : x
  2. Step 2: Convert to fraction form
    7,693.50/11,541.06 = 3,532.80/x
  3. Step 3: Cross multiply
    7,693.50x = 11,541.06 × 3,532.80
  4. Step 4: Simplify right side
    7,693.50x = 40,772,256.77
  5. Step 5: Solve for x
    x = 40,772,256.77/7,693.50
  6. Step 6: Final answer
    x = 5,299.57

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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.