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Finding the Fourth Proportional to 10,231.58, 15,340.80 and 6,717.44

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Solution

The fourth proportional to 10,231.58, 15,340.80 and 6,717.44 is: 10,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.58 : 15,340.80 = 6,717.44 : x
  2. Step 2: Convert to fraction form
    10,231.58/15,340.80 = 6,717.44/x
  3. Step 3: Cross multiply
    10,231.58x = 15,340.80 × 6,717.44
  4. Step 4: Simplify right side
    10,231.58x = 103,050,903.55
  5. Step 5: Solve for x
    x = 103,050,903.55/10,231.58
  6. Step 6: Final answer
    x = 10,071.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.