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Finding the Fourth Proportional to 11,007.86, 16,502.07 and 4,077.86

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Solution

The fourth proportional to 11,007.86, 16,502.07 and 4,077.86 is: 6,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.86 : 16,502.07 = 4,077.86 : x
  2. Step 2: Convert to fraction form
    11,007.86/16,502.07 = 4,077.86/x
  3. Step 3: Cross multiply
    11,007.86x = 16,502.07 × 4,077.86
  4. Step 4: Simplify right side
    11,007.86x = 67,293,131.17
  5. Step 5: Solve for x
    x = 67,293,131.17/11,007.86
  6. Step 6: Final answer
    x = 6,113.19

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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.