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Finding the Fourth Proportional to 6,728.29, 9,278.60 and 5,132.10

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Solution

The fourth proportional to 6,728.29, 9,278.60 and 5,132.10 is: 7,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.29 : 9,278.60 = 5,132.10 : x
  2. Step 2: Convert to fraction form
    6,728.29/9,278.60 = 5,132.10/x
  3. Step 3: Cross multiply
    6,728.29x = 9,278.60 × 5,132.10
  4. Step 4: Simplify right side
    6,728.29x = 47,618,683.81
  5. Step 5: Solve for x
    x = 47,618,683.81/6,728.29
  6. Step 6: Final answer
    x = 7,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.