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Finding the Fourth Proportional to 11,615.77, 16,029.51 and 6,310.45

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Solution

The fourth proportional to 11,615.77, 16,029.51 and 6,310.45 is: 8,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.77 : 16,029.51 = 6,310.45 : x
  2. Step 2: Convert to fraction form
    11,615.77/16,029.51 = 6,310.45/x
  3. Step 3: Cross multiply
    11,615.77x = 16,029.51 × 6,310.45
  4. Step 4: Simplify right side
    11,615.77x = 101,153,421.38
  5. Step 5: Solve for x
    x = 101,153,421.38/11,615.77
  6. Step 6: Final answer
    x = 8,708.28

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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.