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Finding the Fourth Proportional to 7,341.46, 11,014.05 and 2,076.46

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Solution

The fourth proportional to 7,341.46, 11,014.05 and 2,076.46 is: 3,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.46 : 11,014.05 = 2,076.46 : x
  2. Step 2: Convert to fraction form
    7,341.46/11,014.05 = 2,076.46/x
  3. Step 3: Cross multiply
    7,341.46x = 11,014.05 × 2,076.46
  4. Step 4: Simplify right side
    7,341.46x = 22,870,234.26
  5. Step 5: Solve for x
    x = 22,870,234.26/7,341.46
  6. Step 6: Final answer
    x = 3,115.22

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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.