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Finding the Fourth Proportional to 12,002.94, 16,556.77 and 7,747.32

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Solution

The fourth proportional to 12,002.94, 16,556.77 and 7,747.32 is: 10,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.94 : 16,556.77 = 7,747.32 : x
  2. Step 2: Convert to fraction form
    12,002.94/16,556.77 = 7,747.32/x
  3. Step 3: Cross multiply
    12,002.94x = 16,556.77 × 7,747.32
  4. Step 4: Simplify right side
    12,002.94x = 128,270,595.36
  5. Step 5: Solve for x
    x = 128,270,595.36/12,002.94
  6. Step 6: Final answer
    x = 10,686.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.