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Finding the Fourth Proportional to 10,216.41, 15,316.82 and 5,282.90

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Solution

The fourth proportional to 10,216.41, 15,316.82 and 5,282.90 is: 7,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.41 : 15,316.82 = 5,282.90 : x
  2. Step 2: Convert to fraction form
    10,216.41/15,316.82 = 5,282.90/x
  3. Step 3: Cross multiply
    10,216.41x = 15,316.82 × 5,282.90
  4. Step 4: Simplify right side
    10,216.41x = 80,917,228.38
  5. Step 5: Solve for x
    x = 80,917,228.38/10,216.41
  6. Step 6: Final answer
    x = 7,920.32

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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.