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Finding the Fourth Proportional to 7,690.05, 11,492.93 and 5,614.43

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Solution

The fourth proportional to 7,690.05, 11,492.93 and 5,614.43 is: 8,390.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.05 : 11,492.93 = 5,614.43 : x
  2. Step 2: Convert to fraction form
    7,690.05/11,492.93 = 5,614.43/x
  3. Step 3: Cross multiply
    7,690.05x = 11,492.93 × 5,614.43
  4. Step 4: Simplify right side
    7,690.05x = 64,526,193.52
  5. Step 5: Solve for x
    x = 64,526,193.52/7,690.05
  6. Step 6: Final answer
    x = 8,390.87

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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.