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Finding the Fourth Proportional to 10,142.76, 15,222.06 and 5,212.20

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Solution

The fourth proportional to 10,142.76, 15,222.06 and 5,212.20 is: 7,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.76 : 15,222.06 = 5,212.20 : x
  2. Step 2: Convert to fraction form
    10,142.76/15,222.06 = 5,212.20/x
  3. Step 3: Cross multiply
    10,142.76x = 15,222.06 × 5,212.20
  4. Step 4: Simplify right side
    10,142.76x = 79,340,421.13
  5. Step 5: Solve for x
    x = 79,340,421.13/10,142.76
  6. Step 6: Final answer
    x = 7,822.37

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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.