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Finding the Fourth Proportional to 8,368.32, 11,546.94 and 4,830.84

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Solution

The fourth proportional to 8,368.32, 11,546.94 and 4,830.84 is: 6,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.32 : 11,546.94 = 4,830.84 : x
  2. Step 2: Convert to fraction form
    8,368.32/11,546.94 = 4,830.84/x
  3. Step 3: Cross multiply
    8,368.32x = 11,546.94 × 4,830.84
  4. Step 4: Simplify right side
    8,368.32x = 55,781,419.63
  5. Step 5: Solve for x
    x = 55,781,419.63/8,368.32
  6. Step 6: Final answer
    x = 6,665.78

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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.