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Finding the Fourth Proportional to 7,811.12, 11,716.74 and 2,617.00

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Solution

The fourth proportional to 7,811.12, 11,716.74 and 2,617.00 is: 3,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.12 : 11,716.74 = 2,617.00 : x
  2. Step 2: Convert to fraction form
    7,811.12/11,716.74 = 2,617.00/x
  3. Step 3: Cross multiply
    7,811.12x = 11,716.74 × 2,617.00
  4. Step 4: Simplify right side
    7,811.12x = 30,662,659.13
  5. Step 5: Solve for x
    x = 30,662,659.13/7,811.12
  6. Step 6: Final answer
    x = 3,925.51

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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.