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Finding the Fourth Proportional to 28,282.11, 42,423.12 and 7,222.14

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Solution

The fourth proportional to 28,282.11, 42,423.12 and 7,222.14 is: 10,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.11 : 42,423.12 = 7,222.14 : x
  2. Step 2: Convert to fraction form
    28,282.11/42,423.12 = 7,222.14/x
  3. Step 3: Cross multiply
    28,282.11x = 42,423.12 × 7,222.14
  4. Step 4: Simplify right side
    28,282.11x = 306,385,711.88
  5. Step 5: Solve for x
    x = 306,385,711.88/28,282.11
  6. Step 6: Final answer
    x = 10,833.20

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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.