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Finding the Fourth Proportional to 12,002.79, 16,561.38 and 6,897.32

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Solution

The fourth proportional to 12,002.79, 16,561.38 and 6,897.32 is: 9,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.79 : 16,561.38 = 6,897.32 : x
  2. Step 2: Convert to fraction form
    12,002.79/16,561.38 = 6,897.32/x
  3. Step 3: Cross multiply
    12,002.79x = 16,561.38 × 6,897.32
  4. Step 4: Simplify right side
    12,002.79x = 114,229,202.83
  5. Step 5: Solve for x
    x = 114,229,202.83/12,002.79
  6. Step 6: Final answer
    x = 9,516.89

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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.