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Finding the Fourth Proportional to 10,196.68, 15,295.04 and 6,733.12

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Solution

The fourth proportional to 10,196.68, 15,295.04 and 6,733.12 is: 10,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.68 : 15,295.04 = 6,733.12 : x
  2. Step 2: Convert to fraction form
    10,196.68/15,295.04 = 6,733.12/x
  3. Step 3: Cross multiply
    10,196.68x = 15,295.04 × 6,733.12
  4. Step 4: Simplify right side
    10,196.68x = 102,983,339.72
  5. Step 5: Solve for x
    x = 102,983,339.72/10,196.68
  6. Step 6: Final answer
    x = 10,099.69

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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.