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Finding the Fourth Proportional to 8,443.14, 11,647.64 and 4,905.68

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Solution

The fourth proportional to 8,443.14, 11,647.64 and 4,905.68 is: 6,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.14 : 11,647.64 = 4,905.68 : x
  2. Step 2: Convert to fraction form
    8,443.14/11,647.64 = 4,905.68/x
  3. Step 3: Cross multiply
    8,443.14x = 11,647.64 × 4,905.68
  4. Step 4: Simplify right side
    8,443.14x = 57,139,594.60
  5. Step 5: Solve for x
    x = 57,139,594.60/8,443.14
  6. Step 6: Final answer
    x = 6,767.58

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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.