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Finding the Fourth Proportional to 10,817.16, 16,216.80 and 3,417

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Solution

The fourth proportional to 10,817.16, 16,216.80 and 3,417 is: 5,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.16 : 16,216.80 = 3,417 : x
  2. Step 2: Convert to fraction form
    10,817.16/16,216.80 = 3,417/x
  3. Step 3: Cross multiply
    10,817.16x = 16,216.80 × 3,417
  4. Step 4: Simplify right side
    10,817.16x = 55,412,805.60
  5. Step 5: Solve for x
    x = 55,412,805.60/10,817.16
  6. Step 6: Final answer
    x = 5,122.68

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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.