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Finding the Fourth Proportional to 10,270.76, 15,406.12 and 4,114.76

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Solution

The fourth proportional to 10,270.76, 15,406.12 and 4,114.76 is: 6,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.76 : 15,406.12 = 4,114.76 : x
  2. Step 2: Convert to fraction form
    10,270.76/15,406.12 = 4,114.76/x
  3. Step 3: Cross multiply
    10,270.76x = 15,406.12 × 4,114.76
  4. Step 4: Simplify right side
    10,270.76x = 63,392,486.33
  5. Step 5: Solve for x
    x = 63,392,486.33/10,270.76
  6. Step 6: Final answer
    x = 6,172.13

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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.