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Finding the Fourth Proportional to 10,141.39, 15,211.95 and 8,406.37

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Solution

The fourth proportional to 10,141.39, 15,211.95 and 8,406.37 is: 12,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.39 : 15,211.95 = 8,406.37 : x
  2. Step 2: Convert to fraction form
    10,141.39/15,211.95 = 8,406.37/x
  3. Step 3: Cross multiply
    10,141.39x = 15,211.95 × 8,406.37
  4. Step 4: Simplify right side
    10,141.39x = 127,877,280.12
  5. Step 5: Solve for x
    x = 127,877,280.12/10,141.39
  6. Step 6: Final answer
    x = 12,609.44

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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.