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Finding the Fourth Proportional to 11,613.27, 16,025.95 and 6,577.96

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Solution

The fourth proportional to 11,613.27, 16,025.95 and 6,577.96 is: 9,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.27 : 16,025.95 = 6,577.96 : x
  2. Step 2: Convert to fraction form
    11,613.27/16,025.95 = 6,577.96/x
  3. Step 3: Cross multiply
    11,613.27x = 16,025.95 × 6,577.96
  4. Step 4: Simplify right side
    11,613.27x = 105,418,056.27
  5. Step 5: Solve for x
    x = 105,418,056.27/11,613.27
  6. Step 6: Final answer
    x = 9,077.38

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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.