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Finding the Fourth Proportional to 11,207.64, 16,810.18 and 2,999

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Solution

The fourth proportional to 11,207.64, 16,810.18 and 2,999 is: 4,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.64 : 16,810.18 = 2,999 : x
  2. Step 2: Convert to fraction form
    11,207.64/16,810.18 = 2,999/x
  3. Step 3: Cross multiply
    11,207.64x = 16,810.18 × 2,999
  4. Step 4: Simplify right side
    11,207.64x = 50,413,729.82
  5. Step 5: Solve for x
    x = 50,413,729.82/11,207.64
  6. Step 6: Final answer
    x = 4,498.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.