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Finding the Fourth Proportional to 7,411.91, 11,106.86 and 4,120.47

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Solution

The fourth proportional to 7,411.91, 11,106.86 and 4,120.47 is: 6,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.91 : 11,106.86 = 4,120.47 : x
  2. Step 2: Convert to fraction form
    7,411.91/11,106.86 = 4,120.47/x
  3. Step 3: Cross multiply
    7,411.91x = 11,106.86 × 4,120.47
  4. Step 4: Simplify right side
    7,411.91x = 45,765,462.82
  5. Step 5: Solve for x
    x = 45,765,462.82/7,411.91
  6. Step 6: Final answer
    x = 6,174.59

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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.