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Finding the Fourth Proportional to 7,087.57, 9,754.42 and 5,666.02

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Solution

The fourth proportional to 7,087.57, 9,754.42 and 5,666.02 is: 7,797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.57 : 9,754.42 = 5,666.02 : x
  2. Step 2: Convert to fraction form
    7,087.57/9,754.42 = 5,666.02/x
  3. Step 3: Cross multiply
    7,087.57x = 9,754.42 × 5,666.02
  4. Step 4: Simplify right side
    7,087.57x = 55,268,738.81
  5. Step 5: Solve for x
    x = 55,268,738.81/7,087.57
  6. Step 6: Final answer
    x = 7,797.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.