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Finding the Fourth Proportional to 12,061.37, 16,645.76 and 6,756.14

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Solution

The fourth proportional to 12,061.37, 16,645.76 and 6,756.14 is: 9,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,061.37 : 16,645.76 = 6,756.14 : x
  2. Step 2: Convert to fraction form
    12,061.37/16,645.76 = 6,756.14/x
  3. Step 3: Cross multiply
    12,061.37x = 16,645.76 × 6,756.14
  4. Step 4: Simplify right side
    12,061.37x = 112,460,967.96
  5. Step 5: Solve for x
    x = 112,460,967.96/12,061.37
  6. Step 6: Final answer
    x = 9,324.07

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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.