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Finding the Fourth Proportional to 11,655.81, 16,085.02 and 6,350.63

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Solution

The fourth proportional to 11,655.81, 16,085.02 and 6,350.63 is: 8,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.81 : 16,085.02 = 6,350.63 : x
  2. Step 2: Convert to fraction form
    11,655.81/16,085.02 = 6,350.63/x
  3. Step 3: Cross multiply
    11,655.81x = 16,085.02 × 6,350.63
  4. Step 4: Simplify right side
    11,655.81x = 102,150,013.04
  5. Step 5: Solve for x
    x = 102,150,013.04/11,655.81
  6. Step 6: Final answer
    x = 8,763.87

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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.