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Finding the Fourth Proportional to 7,713.66, 11,568.51 and 3,033.84

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Solution

The fourth proportional to 7,713.66, 11,568.51 and 3,033.84 is: 4,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.66 : 11,568.51 = 3,033.84 : x
  2. Step 2: Convert to fraction form
    7,713.66/11,568.51 = 3,033.84/x
  3. Step 3: Cross multiply
    7,713.66x = 11,568.51 × 3,033.84
  4. Step 4: Simplify right side
    7,713.66x = 35,097,008.38
  5. Step 5: Solve for x
    x = 35,097,008.38/7,713.66
  6. Step 6: Final answer
    x = 4,549.98

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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.