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Finding the Fourth Proportional to 11,814.91, 16,303.97 and 6,509.61

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Solution

The fourth proportional to 11,814.91, 16,303.97 and 6,509.61 is: 8,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.91 : 16,303.97 = 6,509.61 : x
  2. Step 2: Convert to fraction form
    11,814.91/16,303.97 = 6,509.61/x
  3. Step 3: Cross multiply
    11,814.91x = 16,303.97 × 6,509.61
  4. Step 4: Simplify right side
    11,814.91x = 106,132,486.15
  5. Step 5: Solve for x
    x = 106,132,486.15/11,814.91
  6. Step 6: Final answer
    x = 8,982.93

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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.