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Finding the Fourth Proportional to 10,612.17, 15,912.78 and 7,285.50

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Solution

The fourth proportional to 10,612.17, 15,912.78 and 7,285.50 is: 10,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.17 : 15,912.78 = 7,285.50 : x
  2. Step 2: Convert to fraction form
    10,612.17/15,912.78 = 7,285.50/x
  3. Step 3: Cross multiply
    10,612.17x = 15,912.78 × 7,285.50
  4. Step 4: Simplify right side
    10,612.17x = 115,932,558.69
  5. Step 5: Solve for x
    x = 115,932,558.69/10,612.17
  6. Step 6: Final answer
    x = 10,924.49

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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.