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Finding the Fourth Proportional to 10,114.08, 13,956.93 and 5,638.20

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Solution

The fourth proportional to 10,114.08, 13,956.93 and 5,638.20 is: 7,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.08 : 13,956.93 = 5,638.20 : x
  2. Step 2: Convert to fraction form
    10,114.08/13,956.93 = 5,638.20/x
  3. Step 3: Cross multiply
    10,114.08x = 13,956.93 × 5,638.20
  4. Step 4: Simplify right side
    10,114.08x = 78,691,962.73
  5. Step 5: Solve for x
    x = 78,691,962.73/10,114.08
  6. Step 6: Final answer
    x = 7,780.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.