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Finding the Fourth Proportional to 15,200.60, 22,798.62 and 4,811

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Solution

The fourth proportional to 15,200.60, 22,798.62 and 4,811 is: 7,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.60 : 22,798.62 = 4,811 : x
  2. Step 2: Convert to fraction form
    15,200.60/22,798.62 = 4,811/x
  3. Step 3: Cross multiply
    15,200.60x = 22,798.62 × 4,811
  4. Step 4: Simplify right side
    15,200.60x = 109,684,160.82
  5. Step 5: Solve for x
    x = 109,684,160.82/15,200.60
  6. Step 6: Final answer
    x = 7,215.78

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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.