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Finding the Fourth Proportional to 7,411.47, 11,119.95 and 3,464.96

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Solution

The fourth proportional to 7,411.47, 11,119.95 and 3,464.96 is: 5,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.47 : 11,119.95 = 3,464.96 : x
  2. Step 2: Convert to fraction form
    7,411.47/11,119.95 = 3,464.96/x
  3. Step 3: Cross multiply
    7,411.47x = 11,119.95 × 3,464.96
  4. Step 4: Simplify right side
    7,411.47x = 38,530,126.35
  5. Step 5: Solve for x
    x = 38,530,126.35/7,411.47
  6. Step 6: Final answer
    x = 5,198.72

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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.