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Finding the Fourth Proportional to 10,384.37, 15,542.66 and 7,905.50

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Solution

The fourth proportional to 10,384.37, 15,542.66 and 7,905.50 is: 11,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.37 : 15,542.66 = 7,905.50 : x
  2. Step 2: Convert to fraction form
    10,384.37/15,542.66 = 7,905.50/x
  3. Step 3: Cross multiply
    10,384.37x = 15,542.66 × 7,905.50
  4. Step 4: Simplify right side
    10,384.37x = 122,872,440.68
  5. Step 5: Solve for x
    x = 122,872,440.68/10,384.37
  6. Step 6: Final answer
    x = 11,832.45

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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.