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Finding the Fourth Proportional to 11,814.26, 16,303.48 and 6,509.57

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Solution

The fourth proportional to 11,814.26, 16,303.48 and 6,509.57 is: 8,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.26 : 16,303.48 = 6,509.57 : x
  2. Step 2: Convert to fraction form
    11,814.26/16,303.48 = 6,509.57/x
  3. Step 3: Cross multiply
    11,814.26x = 16,303.48 × 6,509.57
  4. Step 4: Simplify right side
    11,814.26x = 106,128,546.51
  5. Step 5: Solve for x
    x = 106,128,546.51/11,814.26
  6. Step 6: Final answer
    x = 8,983.09

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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.