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Finding the Fourth Proportional to 10,462.55, 14,437.78 and 5,745.92

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Solution

The fourth proportional to 10,462.55, 14,437.78 and 5,745.92 is: 7,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.55 : 14,437.78 = 5,745.92 : x
  2. Step 2: Convert to fraction form
    10,462.55/14,437.78 = 5,745.92/x
  3. Step 3: Cross multiply
    10,462.55x = 14,437.78 × 5,745.92
  4. Step 4: Simplify right side
    10,462.55x = 82,958,242.30
  5. Step 5: Solve for x
    x = 82,958,242.30/10,462.55
  6. Step 6: Final answer
    x = 7,929.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.