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Finding the Fourth Proportional to 12,012.57, 16,577.46 and 6,707.48

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Solution

The fourth proportional to 12,012.57, 16,577.46 and 6,707.48 is: 9,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.57 : 16,577.46 = 6,707.48 : x
  2. Step 2: Convert to fraction form
    12,012.57/16,577.46 = 6,707.48/x
  3. Step 3: Cross multiply
    12,012.57x = 16,577.46 × 6,707.48
  4. Step 4: Simplify right side
    12,012.57x = 111,192,898.51
  5. Step 5: Solve for x
    x = 111,192,898.51/12,012.57
  6. Step 6: Final answer
    x = 9,256.38

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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.