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Finding the Fourth Proportional to 7,143.60, 10,727.55 and 5,296.80

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Solution

The fourth proportional to 7,143.60, 10,727.55 and 5,296.80 is: 7,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.60 : 10,727.55 = 5,296.80 : x
  2. Step 2: Convert to fraction form
    7,143.60/10,727.55 = 5,296.80/x
  3. Step 3: Cross multiply
    7,143.60x = 10,727.55 × 5,296.80
  4. Step 4: Simplify right side
    7,143.60x = 56,821,686.84
  5. Step 5: Solve for x
    x = 56,821,686.84/7,143.60
  6. Step 6: Final answer
    x = 7,954.21

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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.