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Finding the Fourth Proportional to 11,969, 16,519.14 and 7,000.04

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Solution

The fourth proportional to 11,969, 16,519.14 and 7,000.04 is: 9,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969 : 16,519.14 = 7,000.04 : x
  2. Step 2: Convert to fraction form
    11,969/16,519.14 = 7,000.04/x
  3. Step 3: Cross multiply
    11,969x = 16,519.14 × 7,000.04
  4. Step 4: Simplify right side
    11,969x = 115,634,640.77
  5. Step 5: Solve for x
    x = 115,634,640.77/11,969
  6. Step 6: Final answer
    x = 9,661.18

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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.