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Finding the Fourth Proportional to 6,876.81, 10,294.83 and 4,532.40

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Solution

The fourth proportional to 6,876.81, 10,294.83 and 4,532.40 is: 6,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.81 : 10,294.83 = 4,532.40 : x
  2. Step 2: Convert to fraction form
    6,876.81/10,294.83 = 4,532.40/x
  3. Step 3: Cross multiply
    6,876.81x = 10,294.83 × 4,532.40
  4. Step 4: Simplify right side
    6,876.81x = 46,660,287.49
  5. Step 5: Solve for x
    x = 46,660,287.49/6,876.81
  6. Step 6: Final answer
    x = 6,785.16

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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.