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Finding the Fourth Proportional to 7,468.14, 11,192.49 and 4,655.82

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Solution

The fourth proportional to 7,468.14, 11,192.49 and 4,655.82 is: 6,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.14 : 11,192.49 = 4,655.82 : x
  2. Step 2: Convert to fraction form
    7,468.14/11,192.49 = 4,655.82/x
  3. Step 3: Cross multiply
    7,468.14x = 11,192.49 × 4,655.82
  4. Step 4: Simplify right side
    7,468.14x = 52,110,218.79
  5. Step 5: Solve for x
    x = 52,110,218.79/7,468.14
  6. Step 6: Final answer
    x = 6,977.67

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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.