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Finding the Fourth Proportional to 7,416.56, 11,123.84 and 2,080.13

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Solution

The fourth proportional to 7,416.56, 11,123.84 and 2,080.13 is: 3,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.56 : 11,123.84 = 2,080.13 : x
  2. Step 2: Convert to fraction form
    7,416.56/11,123.84 = 2,080.13/x
  3. Step 3: Cross multiply
    7,416.56x = 11,123.84 × 2,080.13
  4. Step 4: Simplify right side
    7,416.56x = 23,138,967.28
  5. Step 5: Solve for x
    x = 23,138,967.28/7,416.56
  6. Step 6: Final answer
    x = 3,119.91

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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.