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Finding the Fourth Proportional to 10,156.20, 15,212.70 and 8,428.20

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Solution

The fourth proportional to 10,156.20, 15,212.70 and 8,428.20 is: 12,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.20 : 15,212.70 = 8,428.20 : x
  2. Step 2: Convert to fraction form
    10,156.20/15,212.70 = 8,428.20/x
  3. Step 3: Cross multiply
    10,156.20x = 15,212.70 × 8,428.20
  4. Step 4: Simplify right side
    10,156.20x = 128,215,678.14
  5. Step 5: Solve for x
    x = 128,215,678.14/10,156.20
  6. Step 6: Final answer
    x = 12,624.38

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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.