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Finding the Fourth Proportional to 10,762.20, 16,159.50 and 10,208.16

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Solution

The fourth proportional to 10,762.20, 16,159.50 and 10,208.16 is: 15,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.20 : 16,159.50 = 10,208.16 : x
  2. Step 2: Convert to fraction form
    10,762.20/16,159.50 = 10,208.16/x
  3. Step 3: Cross multiply
    10,762.20x = 16,159.50 × 10,208.16
  4. Step 4: Simplify right side
    10,762.20x = 164,958,761.52
  5. Step 5: Solve for x
    x = 164,958,761.52/10,762.20
  6. Step 6: Final answer
    x = 15,327.61

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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.