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Finding the Fourth Proportional to 10,893.80, 16,302.90 and 6,514.40

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Solution

The fourth proportional to 10,893.80, 16,302.90 and 6,514.40 is: 9,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.80 : 16,302.90 = 6,514.40 : x
  2. Step 2: Convert to fraction form
    10,893.80/16,302.90 = 6,514.40/x
  3. Step 3: Cross multiply
    10,893.80x = 16,302.90 × 6,514.40
  4. Step 4: Simplify right side
    10,893.80x = 106,203,611.76
  5. Step 5: Solve for x
    x = 106,203,611.76/10,893.80
  6. Step 6: Final answer
    x = 9,749.00

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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.