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Finding the Fourth Proportional to 7,810.76, 11,712.38 and 2,262.60

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Solution

The fourth proportional to 7,810.76, 11,712.38 and 2,262.60 is: 3,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.76 : 11,712.38 = 2,262.60 : x
  2. Step 2: Convert to fraction form
    7,810.76/11,712.38 = 2,262.60/x
  3. Step 3: Cross multiply
    7,810.76x = 11,712.38 × 2,262.60
  4. Step 4: Simplify right side
    7,810.76x = 26,500,419.68
  5. Step 5: Solve for x
    x = 26,500,419.68/7,810.76
  6. Step 6: Final answer
    x = 3,392.81

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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.