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Finding the Fourth Proportional to 7,133.28, 10,683.60 and 6,002.40

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Solution

The fourth proportional to 7,133.28, 10,683.60 and 6,002.40 is: 8,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.28 : 10,683.60 = 6,002.40 : x
  2. Step 2: Convert to fraction form
    7,133.28/10,683.60 = 6,002.40/x
  3. Step 3: Cross multiply
    7,133.28x = 10,683.60 × 6,002.40
  4. Step 4: Simplify right side
    7,133.28x = 64,127,240.64
  5. Step 5: Solve for x
    x = 64,127,240.64/7,133.28
  6. Step 6: Final answer
    x = 8,989.87

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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.