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Finding the Fourth Proportional to 7,411.14, 10,230.45 and 5,519.40

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Solution

The fourth proportional to 7,411.14, 10,230.45 and 5,519.40 is: 7,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.14 : 10,230.45 = 5,519.40 : x
  2. Step 2: Convert to fraction form
    7,411.14/10,230.45 = 5,519.40/x
  3. Step 3: Cross multiply
    7,411.14x = 10,230.45 × 5,519.40
  4. Step 4: Simplify right side
    7,411.14x = 56,465,945.73
  5. Step 5: Solve for x
    x = 56,465,945.73/7,411.14
  6. Step 6: Final answer
    x = 7,619.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.