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Finding the Fourth Proportional to 11,814.51, 16,303.71 and 6,509.29

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Solution

The fourth proportional to 11,814.51, 16,303.71 and 6,509.29 is: 8,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.51 : 16,303.71 = 6,509.29 : x
  2. Step 2: Convert to fraction form
    11,814.51/16,303.71 = 6,509.29/x
  3. Step 3: Cross multiply
    11,814.51x = 16,303.71 × 6,509.29
  4. Step 4: Simplify right side
    11,814.51x = 106,125,489.91
  5. Step 5: Solve for x
    x = 106,125,489.91/11,814.51
  6. Step 6: Final answer
    x = 8,982.64

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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.