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Finding the Fourth Proportional to 7,656.14, 11,474.58 and 3,494.90

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Solution

The fourth proportional to 7,656.14, 11,474.58 and 3,494.90 is: 5,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.14 : 11,474.58 = 3,494.90 : x
  2. Step 2: Convert to fraction form
    7,656.14/11,474.58 = 3,494.90/x
  3. Step 3: Cross multiply
    7,656.14x = 11,474.58 × 3,494.90
  4. Step 4: Simplify right side
    7,656.14x = 40,102,509.64
  5. Step 5: Solve for x
    x = 40,102,509.64/7,656.14
  6. Step 6: Final answer
    x = 5,237.95

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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.