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Finding the Fourth Proportional to 8,184.34, 11,294.40 and 4,648.69

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Solution

The fourth proportional to 8,184.34, 11,294.40 and 4,648.69 is: 6,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.34 : 11,294.40 = 4,648.69 : x
  2. Step 2: Convert to fraction form
    8,184.34/11,294.40 = 4,648.69/x
  3. Step 3: Cross multiply
    8,184.34x = 11,294.40 × 4,648.69
  4. Step 4: Simplify right side
    8,184.34x = 52,504,164.34
  5. Step 5: Solve for x
    x = 52,504,164.34/8,184.34
  6. Step 6: Final answer
    x = 6,415.20

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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.