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Finding the Fourth Proportional to 11,312.26, 15,611.72 and 6,276.42

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Solution

The fourth proportional to 11,312.26, 15,611.72 and 6,276.42 is: 8,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.26 : 15,611.72 = 6,276.42 : x
  2. Step 2: Convert to fraction form
    11,312.26/15,611.72 = 6,276.42/x
  3. Step 3: Cross multiply
    11,312.26x = 15,611.72 × 6,276.42
  4. Step 4: Simplify right side
    11,312.26x = 97,985,711.64
  5. Step 5: Solve for x
    x = 97,985,711.64/11,312.26
  6. Step 6: Final answer
    x = 8,661.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.