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Finding the Fourth Proportional to 10,683.28, 14,742.88 and 5,838

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Solution

The fourth proportional to 10,683.28, 14,742.88 and 5,838 is: 8,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.28 : 14,742.88 = 5,838 : x
  2. Step 2: Convert to fraction form
    10,683.28/14,742.88 = 5,838/x
  3. Step 3: Cross multiply
    10,683.28x = 14,742.88 × 5,838
  4. Step 4: Simplify right side
    10,683.28x = 86,068,933.44
  5. Step 5: Solve for x
    x = 86,068,933.44/10,683.28
  6. Step 6: Final answer
    x = 8,056.41

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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.