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Finding the Fourth Proportional to 11,609.85, 16,021.76 and 6,304.66

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Solution

The fourth proportional to 11,609.85, 16,021.76 and 6,304.66 is: 8,700.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.85 : 16,021.76 = 6,304.66 : x
  2. Step 2: Convert to fraction form
    11,609.85/16,021.76 = 6,304.66/x
  3. Step 3: Cross multiply
    11,609.85x = 16,021.76 × 6,304.66
  4. Step 4: Simplify right side
    11,609.85x = 101,011,749.40
  5. Step 5: Solve for x
    x = 101,011,749.40/11,609.85
  6. Step 6: Final answer
    x = 8,700.52

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