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Finding the Fourth Proportional to 7,444.31, 11,166.86 and 3,742.20

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Solution

The fourth proportional to 7,444.31, 11,166.86 and 3,742.20 is: 5,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.31 : 11,166.86 = 3,742.20 : x
  2. Step 2: Convert to fraction form
    7,444.31/11,166.86 = 3,742.20/x
  3. Step 3: Cross multiply
    7,444.31x = 11,166.86 × 3,742.20
  4. Step 4: Simplify right side
    7,444.31x = 41,788,632.85
  5. Step 5: Solve for x
    x = 41,788,632.85/7,444.31
  6. Step 6: Final answer
    x = 5,613.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.