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Finding the Fourth Proportional to 10,607.13, 15,910.70 and 3,211.42

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Solution

The fourth proportional to 10,607.13, 15,910.70 and 3,211.42 is: 4,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.13 : 15,910.70 = 3,211.42 : x
  2. Step 2: Convert to fraction form
    10,607.13/15,910.70 = 3,211.42/x
  3. Step 3: Cross multiply
    10,607.13x = 15,910.70 × 3,211.42
  4. Step 4: Simplify right side
    10,607.13x = 51,095,940.19
  5. Step 5: Solve for x
    x = 51,095,940.19/10,607.13
  6. Step 6: Final answer
    x = 4,817.13

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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.