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Finding the Fourth Proportional to 28,277.10, 42,415.62 and 7,217.14

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Solution

The fourth proportional to 28,277.10, 42,415.62 and 7,217.14 is: 10,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,277.10 : 42,415.62 = 7,217.14 : x
  2. Step 2: Convert to fraction form
    28,277.10/42,415.62 = 7,217.14/x
  3. Step 3: Cross multiply
    28,277.10x = 42,415.62 × 7,217.14
  4. Step 4: Simplify right side
    28,277.10x = 306,119,467.73
  5. Step 5: Solve for x
    x = 306,119,467.73/28,277.10
  6. Step 6: Final answer
    x = 10,825.70

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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.