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Finding the Fourth Proportional to 7,462.14, 11,182.95 and 3,454.80

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Solution

The fourth proportional to 7,462.14, 11,182.95 and 3,454.80 is: 5,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.14 : 11,182.95 = 3,454.80 : x
  2. Step 2: Convert to fraction form
    7,462.14/11,182.95 = 3,454.80/x
  3. Step 3: Cross multiply
    7,462.14x = 11,182.95 × 3,454.80
  4. Step 4: Simplify right side
    7,462.14x = 38,634,855.66
  5. Step 5: Solve for x
    x = 38,634,855.66/7,462.14
  6. Step 6: Final answer
    x = 5,177.45

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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.