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Finding the Fourth Proportional to 8,412.37, 11,606.64 and 5,429.95

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Solution

The fourth proportional to 8,412.37, 11,606.64 and 5,429.95 is: 7,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.37 : 11,606.64 = 5,429.95 : x
  2. Step 2: Convert to fraction form
    8,412.37/11,606.64 = 5,429.95/x
  3. Step 3: Cross multiply
    8,412.37x = 11,606.64 × 5,429.95
  4. Step 4: Simplify right side
    8,412.37x = 63,023,474.87
  5. Step 5: Solve for x
    x = 63,023,474.87/8,412.37
  6. Step 6: Final answer
    x = 7,491.76

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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.