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Finding the Fourth Proportional to 10,683.60, 14,743.28 and 5,903.86

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Solution

The fourth proportional to 10,683.60, 14,743.28 and 5,903.86 is: 8,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.60 : 14,743.28 = 5,903.86 : x
  2. Step 2: Convert to fraction form
    10,683.60/14,743.28 = 5,903.86/x
  3. Step 3: Cross multiply
    10,683.60x = 14,743.28 × 5,903.86
  4. Step 4: Simplify right side
    10,683.60x = 87,042,308.07
  5. Step 5: Solve for x
    x = 87,042,308.07/10,683.60
  6. Step 6: Final answer
    x = 8,147.29

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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.