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Finding the Fourth Proportional to 7,731.33, 11,597.84 and 2,465.10

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Solution

The fourth proportional to 7,731.33, 11,597.84 and 2,465.10 is: 3,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.33 : 11,597.84 = 2,465.10 : x
  2. Step 2: Convert to fraction form
    7,731.33/11,597.84 = 2,465.10/x
  3. Step 3: Cross multiply
    7,731.33x = 11,597.84 × 2,465.10
  4. Step 4: Simplify right side
    7,731.33x = 28,589,823.06
  5. Step 5: Solve for x
    x = 28,589,823.06/7,731.33
  6. Step 6: Final answer
    x = 3,697.92

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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.