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Finding the Fourth Proportional to 7,126.79, 9,812.66 and 5,863.80

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Solution

The fourth proportional to 7,126.79, 9,812.66 and 5,863.80 is: 8,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.79 : 9,812.66 = 5,863.80 : x
  2. Step 2: Convert to fraction form
    7,126.79/9,812.66 = 5,863.80/x
  3. Step 3: Cross multiply
    7,126.79x = 9,812.66 × 5,863.80
  4. Step 4: Simplify right side
    7,126.79x = 57,539,490.37
  5. Step 5: Solve for x
    x = 57,539,490.37/7,126.79
  6. Step 6: Final answer
    x = 8,073.69

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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.