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Finding the Fourth Proportional to 10,893.80, 16,341.32 and 3,102

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Solution

The fourth proportional to 10,893.80, 16,341.32 and 3,102 is: 4,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.80 : 16,341.32 = 3,102 : x
  2. Step 2: Convert to fraction form
    10,893.80/16,341.32 = 3,102/x
  3. Step 3: Cross multiply
    10,893.80x = 16,341.32 × 3,102
  4. Step 4: Simplify right side
    10,893.80x = 50,690,774.64
  5. Step 5: Solve for x
    x = 50,690,774.64/10,893.80
  6. Step 6: Final answer
    x = 4,653.18

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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.