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Finding the Fourth Proportional to 11,615.26, 16,028.88 and 6,310

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Solution

The fourth proportional to 11,615.26, 16,028.88 and 6,310 is: 8,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.26 : 16,028.88 = 6,310 : x
  2. Step 2: Convert to fraction form
    11,615.26/16,028.88 = 6,310/x
  3. Step 3: Cross multiply
    11,615.26x = 16,028.88 × 6,310
  4. Step 4: Simplify right side
    11,615.26x = 101,142,232.80
  5. Step 5: Solve for x
    x = 101,142,232.80/11,615.26
  6. Step 6: Final answer
    x = 8,707.70

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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.