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Finding the Fourth Proportional to 10,214.31, 15,299.93 and 4,672.32

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Solution

The fourth proportional to 10,214.31, 15,299.93 and 4,672.32 is: 6,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.31 : 15,299.93 = 4,672.32 : x
  2. Step 2: Convert to fraction form
    10,214.31/15,299.93 = 4,672.32/x
  3. Step 3: Cross multiply
    10,214.31x = 15,299.93 × 4,672.32
  4. Step 4: Simplify right side
    10,214.31x = 71,486,145.58
  5. Step 5: Solve for x
    x = 71,486,145.58/10,214.31
  6. Step 6: Final answer
    x = 6,998.63

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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.