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Finding the Fourth Proportional to 10,666.52, 16,004.94 and 4,431.32

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Solution

The fourth proportional to 10,666.52, 16,004.94 and 4,431.32 is: 6,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.52 : 16,004.94 = 4,431.32 : x
  2. Step 2: Convert to fraction form
    10,666.52/16,004.94 = 4,431.32/x
  3. Step 3: Cross multiply
    10,666.52x = 16,004.94 × 4,431.32
  4. Step 4: Simplify right side
    10,666.52x = 70,923,010.72
  5. Step 5: Solve for x
    x = 70,923,010.72/10,666.52
  6. Step 6: Final answer
    x = 6,649.12

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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.