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Finding the Fourth Proportional to 11,959.16, 16,502.81 and 6,653.39

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Solution

The fourth proportional to 11,959.16, 16,502.81 and 6,653.39 is: 9,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959.16 : 16,502.81 = 6,653.39 : x
  2. Step 2: Convert to fraction form
    11,959.16/16,502.81 = 6,653.39/x
  3. Step 3: Cross multiply
    11,959.16x = 16,502.81 × 6,653.39
  4. Step 4: Simplify right side
    11,959.16x = 109,799,515.24
  5. Step 5: Solve for x
    x = 109,799,515.24/11,959.16
  6. Step 6: Final answer
    x = 9,181.21

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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.