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Finding the Fourth Proportional to 8,422.94, 11,624.00 and 4,646.54

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Solution

The fourth proportional to 8,422.94, 11,624.00 and 4,646.54 is: 6,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.94 : 11,624.00 = 4,646.54 : x
  2. Step 2: Convert to fraction form
    8,422.94/11,624.00 = 4,646.54/x
  3. Step 3: Cross multiply
    8,422.94x = 11,624.00 × 4,646.54
  4. Step 4: Simplify right side
    8,422.94x = 54,011,299.61
  5. Step 5: Solve for x
    x = 54,011,299.61/8,422.94
  6. Step 6: Final answer
    x = 6,412.41

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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.