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Finding the Fourth Proportional to 7,128.49, 10,683.32 and 5,160.70

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Solution

The fourth proportional to 7,128.49, 10,683.32 and 5,160.70 is: 7,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.49 : 10,683.32 = 5,160.70 : x
  2. Step 2: Convert to fraction form
    7,128.49/10,683.32 = 5,160.70/x
  3. Step 3: Cross multiply
    7,128.49x = 10,683.32 × 5,160.70
  4. Step 4: Simplify right side
    7,128.49x = 55,133,409.52
  5. Step 5: Solve for x
    x = 55,133,409.52/7,128.49
  6. Step 6: Final answer
    x = 7,734.23

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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.