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Finding the Fourth Proportional to 7,187.60, 10,776.21 and 2,254.58

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Solution

The fourth proportional to 7,187.60, 10,776.21 and 2,254.58 is: 3,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.60 : 10,776.21 = 2,254.58 : x
  2. Step 2: Convert to fraction form
    7,187.60/10,776.21 = 2,254.58/x
  3. Step 3: Cross multiply
    7,187.60x = 10,776.21 × 2,254.58
  4. Step 4: Simplify right side
    7,187.60x = 24,295,827.54
  5. Step 5: Solve for x
    x = 24,295,827.54/7,187.60
  6. Step 6: Final answer
    x = 3,380.24

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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.