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Finding the Fourth Proportional to 8,384.31, 11,570.67 and 4,799.84

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Solution

The fourth proportional to 8,384.31, 11,570.67 and 4,799.84 is: 6,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.31 : 11,570.67 = 4,799.84 : x
  2. Step 2: Convert to fraction form
    8,384.31/11,570.67 = 4,799.84/x
  3. Step 3: Cross multiply
    8,384.31x = 11,570.67 × 4,799.84
  4. Step 4: Simplify right side
    8,384.31x = 55,537,306.84
  5. Step 5: Solve for x
    x = 55,537,306.84/8,384.31
  6. Step 6: Final answer
    x = 6,623.96

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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.