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Finding the Fourth Proportional to 12,004.34, 16,566.03 and 6,699.38

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Solution

The fourth proportional to 12,004.34, 16,566.03 and 6,699.38 is: 9,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004.34 : 16,566.03 = 6,699.38 : x
  2. Step 2: Convert to fraction form
    12,004.34/16,566.03 = 6,699.38/x
  3. Step 3: Cross multiply
    12,004.34x = 16,566.03 × 6,699.38
  4. Step 4: Simplify right side
    12,004.34x = 110,982,047.23
  5. Step 5: Solve for x
    x = 110,982,047.23/12,004.34
  6. Step 6: Final answer
    x = 9,245.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.