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Finding the Fourth Proportional to 7,394.66, 11,092 and 4,314.50

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Solution

The fourth proportional to 7,394.66, 11,092 and 4,314.50 is: 6,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.66 : 11,092 = 4,314.50 : x
  2. Step 2: Convert to fraction form
    7,394.66/11,092 = 4,314.50/x
  3. Step 3: Cross multiply
    7,394.66x = 11,092 × 4,314.50
  4. Step 4: Simplify right side
    7,394.66x = 47,856,434
  5. Step 5: Solve for x
    x = 47,856,434/7,394.66
  6. Step 6: Final answer
    x = 6,471.76

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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.