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Finding the Fourth Proportional to 7,712.40, 11,568.60 and 7,291.20

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Solution

The fourth proportional to 7,712.40, 11,568.60 and 7,291.20 is: 10,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.40 : 11,568.60 = 7,291.20 : x
  2. Step 2: Convert to fraction form
    7,712.40/11,568.60 = 7,291.20/x
  3. Step 3: Cross multiply
    7,712.40x = 11,568.60 × 7,291.20
  4. Step 4: Simplify right side
    7,712.40x = 84,348,976.32
  5. Step 5: Solve for x
    x = 84,348,976.32/7,712.40
  6. Step 6: Final answer
    x = 10,936.80

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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.