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Finding the Fourth Proportional to 11,648.04, 16,063.76 and 7,667.68

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Solution

The fourth proportional to 11,648.04, 16,063.76 and 7,667.68 is: 10,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.04 : 16,063.76 = 7,667.68 : x
  2. Step 2: Convert to fraction form
    11,648.04/16,063.76 = 7,667.68/x
  3. Step 3: Cross multiply
    11,648.04x = 16,063.76 × 7,667.68
  4. Step 4: Simplify right side
    11,648.04x = 123,171,771.28
  5. Step 5: Solve for x
    x = 123,171,771.28/11,648.04
  6. Step 6: Final answer
    x = 10,574.46

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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.