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Finding the Fourth Proportional to 11,314.29, 15,611.70 and 6,835.05

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Solution

The fourth proportional to 11,314.29, 15,611.70 and 6,835.05 is: 9,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.29 : 15,611.70 = 6,835.05 : x
  2. Step 2: Convert to fraction form
    11,314.29/15,611.70 = 6,835.05/x
  3. Step 3: Cross multiply
    11,314.29x = 15,611.70 × 6,835.05
  4. Step 4: Simplify right side
    11,314.29x = 106,706,750.09
  5. Step 5: Solve for x
    x = 106,706,750.09/11,314.29
  6. Step 6: Final answer
    x = 9,431.15

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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.