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Finding the Fourth Proportional to 7,740.30, 11,614.50 and 7,322.07

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Solution

The fourth proportional to 7,740.30, 11,614.50 and 7,322.07 is: 10,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.30 : 11,614.50 = 7,322.07 : x
  2. Step 2: Convert to fraction form
    7,740.30/11,614.50 = 7,322.07/x
  3. Step 3: Cross multiply
    7,740.30x = 11,614.50 × 7,322.07
  4. Step 4: Simplify right side
    7,740.30x = 85,042,182.02
  5. Step 5: Solve for x
    x = 85,042,182.02/7,740.30
  6. Step 6: Final answer
    x = 10,986.94

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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.