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Finding the Fourth Proportional to 10,963.80, 16,445.70 and 7,683.30

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Solution

The fourth proportional to 10,963.80, 16,445.70 and 7,683.30 is: 11,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.80 : 16,445.70 = 7,683.30 : x
  2. Step 2: Convert to fraction form
    10,963.80/16,445.70 = 7,683.30/x
  3. Step 3: Cross multiply
    10,963.80x = 16,445.70 × 7,683.30
  4. Step 4: Simplify right side
    10,963.80x = 126,357,246.81
  5. Step 5: Solve for x
    x = 126,357,246.81/10,963.80
  6. Step 6: Final answer
    x = 11,524.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.