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Finding the Fourth Proportional to 7,689.89, 11,492.69 and 5,614.26

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Solution

The fourth proportional to 7,689.89, 11,492.69 and 5,614.26 is: 8,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.89 : 11,492.69 = 5,614.26 : x
  2. Step 2: Convert to fraction form
    7,689.89/11,492.69 = 5,614.26/x
  3. Step 3: Cross multiply
    7,689.89x = 11,492.69 × 5,614.26
  4. Step 4: Simplify right side
    7,689.89x = 64,522,921.69
  5. Step 5: Solve for x
    x = 64,522,921.69/7,689.89
  6. Step 6: Final answer
    x = 8,390.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.