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Finding the Fourth Proportional to 11,312.77, 15,611.38 and 6,276.88

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Solution

The fourth proportional to 11,312.77, 15,611.38 and 6,276.88 is: 8,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.77 : 15,611.38 = 6,276.88 : x
  2. Step 2: Convert to fraction form
    11,312.77/15,611.38 = 6,276.88/x
  3. Step 3: Cross multiply
    11,312.77x = 15,611.38 × 6,276.88
  4. Step 4: Simplify right side
    11,312.77x = 97,990,745.21
  5. Step 5: Solve for x
    x = 97,990,745.21/11,312.77
  6. Step 6: Final answer
    x = 8,661.96

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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.