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Finding the Fourth Proportional to 10,215.81, 15,302.18 and 4,673.82

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Solution

The fourth proportional to 10,215.81, 15,302.18 and 4,673.82 is: 7,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.81 : 15,302.18 = 4,673.82 : x
  2. Step 2: Convert to fraction form
    10,215.81/15,302.18 = 4,673.82/x
  3. Step 3: Cross multiply
    10,215.81x = 15,302.18 × 4,673.82
  4. Step 4: Simplify right side
    10,215.81x = 71,519,611.56
  5. Step 5: Solve for x
    x = 71,519,611.56/10,215.81
  6. Step 6: Final answer
    x = 7,000.88

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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.