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Finding the Fourth Proportional to 10,683.57, 14,742.63 and 5,903.49

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Solution

The fourth proportional to 10,683.57, 14,742.63 and 5,903.49 is: 8,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.57 : 14,742.63 = 5,903.49 : x
  2. Step 2: Convert to fraction form
    10,683.57/14,742.63 = 5,903.49/x
  3. Step 3: Cross multiply
    10,683.57x = 14,742.63 × 5,903.49
  4. Step 4: Simplify right side
    10,683.57x = 87,032,968.78
  5. Step 5: Solve for x
    x = 87,032,968.78/10,683.57
  6. Step 6: Final answer
    x = 8,146.43

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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.