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Finding the Fourth Proportional to 10,606.90, 15,910.53 and 3,211.45

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Solution

The fourth proportional to 10,606.90, 15,910.53 and 3,211.45 is: 4,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.90 : 15,910.53 = 3,211.45 : x
  2. Step 2: Convert to fraction form
    10,606.90/15,910.53 = 3,211.45/x
  3. Step 3: Cross multiply
    10,606.90x = 15,910.53 × 3,211.45
  4. Step 4: Simplify right side
    10,606.90x = 51,095,871.57
  5. Step 5: Solve for x
    x = 51,095,871.57/10,606.90
  6. Step 6: Final answer
    x = 4,817.23

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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.