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Finding the Fourth Proportional to 11,767.50, 16,239.44 and 6,390.16

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Solution

The fourth proportional to 11,767.50, 16,239.44 and 6,390.16 is: 8,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.50 : 16,239.44 = 6,390.16 : x
  2. Step 2: Convert to fraction form
    11,767.50/16,239.44 = 6,390.16/x
  3. Step 3: Cross multiply
    11,767.50x = 16,239.44 × 6,390.16
  4. Step 4: Simplify right side
    11,767.50x = 103,772,619.91
  5. Step 5: Solve for x
    x = 103,772,619.91/11,767.50
  6. Step 6: Final answer
    x = 8,818.58

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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.