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Finding the Fourth Proportional to 7,707.42, 11,564.82 and 7,382.43

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Solution

The fourth proportional to 7,707.42, 11,564.82 and 7,382.43 is: 11,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.42 : 11,564.82 = 7,382.43 : x
  2. Step 2: Convert to fraction form
    7,707.42/11,564.82 = 7,382.43/x
  3. Step 3: Cross multiply
    7,707.42x = 11,564.82 × 7,382.43
  4. Step 4: Simplify right side
    7,707.42x = 85,376,474.11
  5. Step 5: Solve for x
    x = 85,376,474.11/7,707.42
  6. Step 6: Final answer
    x = 11,077.18

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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.