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Finding the Fourth Proportional to 7,199.12, 10,799.40 and 2,582

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Solution

The fourth proportional to 7,199.12, 10,799.40 and 2,582 is: 3,873.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.12 : 10,799.40 = 2,582 : x
  2. Step 2: Convert to fraction form
    7,199.12/10,799.40 = 2,582/x
  3. Step 3: Cross multiply
    7,199.12x = 10,799.40 × 2,582
  4. Step 4: Simplify right side
    7,199.12x = 27,884,050.80
  5. Step 5: Solve for x
    x = 27,884,050.80/7,199.12
  6. Step 6: Final answer
    x = 3,873.26

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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.