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Finding the Fourth Proportional to 7,707.34, 11,561.02 and 5,954.90

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Solution

The fourth proportional to 7,707.34, 11,561.02 and 5,954.90 is: 8,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.34 : 11,561.02 = 5,954.90 : x
  2. Step 2: Convert to fraction form
    7,707.34/11,561.02 = 5,954.90/x
  3. Step 3: Cross multiply
    7,707.34x = 11,561.02 × 5,954.90
  4. Step 4: Simplify right side
    7,707.34x = 68,844,718.00
  5. Step 5: Solve for x
    x = 68,844,718.00/7,707.34
  6. Step 6: Final answer
    x = 8,932.36

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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.