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Finding the Fourth Proportional to 11,369.16, 17,068.32 and 7,687.71

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Solution

The fourth proportional to 11,369.16, 17,068.32 and 7,687.71 is: 11,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.16 : 17,068.32 = 7,687.71 : x
  2. Step 2: Convert to fraction form
    11,369.16/17,068.32 = 7,687.71/x
  3. Step 3: Cross multiply
    11,369.16x = 17,068.32 × 7,687.71
  4. Step 4: Simplify right side
    11,369.16x = 131,216,294.35
  5. Step 5: Solve for x
    x = 131,216,294.35/11,369.16
  6. Step 6: Final answer
    x = 11,541.42

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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.