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Finding the Fourth Proportional to 11,949.81, 16,498.11 and 7,702.37

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Solution

The fourth proportional to 11,949.81, 16,498.11 and 7,702.37 is: 10,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.81 : 16,498.11 = 7,702.37 : x
  2. Step 2: Convert to fraction form
    11,949.81/16,498.11 = 7,702.37/x
  3. Step 3: Cross multiply
    11,949.81x = 16,498.11 × 7,702.37
  4. Step 4: Simplify right side
    11,949.81x = 127,074,547.52
  5. Step 5: Solve for x
    x = 127,074,547.52/11,949.81
  6. Step 6: Final answer
    x = 10,634.02

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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.