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Finding the Fourth Proportional to 12,064.34, 16,647.22 and 6,760.13

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Solution

The fourth proportional to 12,064.34, 16,647.22 and 6,760.13 is: 9,328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.34 : 16,647.22 = 6,760.13 : x
  2. Step 2: Convert to fraction form
    12,064.34/16,647.22 = 6,760.13/x
  3. Step 3: Cross multiply
    12,064.34x = 16,647.22 × 6,760.13
  4. Step 4: Simplify right side
    12,064.34x = 112,537,296.55
  5. Step 5: Solve for x
    x = 112,537,296.55/12,064.34
  6. Step 6: Final answer
    x = 9,328.09

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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.