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Finding the Fourth Proportional to 11,630.94, 16,044.75 and 6,847.50

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Solution

The fourth proportional to 11,630.94, 16,044.75 and 6,847.50 is: 9,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.94 : 16,044.75 = 6,847.50 : x
  2. Step 2: Convert to fraction form
    11,630.94/16,044.75 = 6,847.50/x
  3. Step 3: Cross multiply
    11,630.94x = 16,044.75 × 6,847.50
  4. Step 4: Simplify right side
    11,630.94x = 109,866,425.63
  5. Step 5: Solve for x
    x = 109,866,425.63/11,630.94
  6. Step 6: Final answer
    x = 9,446.05

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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.