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Finding the Fourth Proportional to 10,289.57, 14,199.57 and 5,573.84

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Solution

The fourth proportional to 10,289.57, 14,199.57 and 5,573.84 is: 7,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.57 : 14,199.57 = 5,573.84 : x
  2. Step 2: Convert to fraction form
    10,289.57/14,199.57 = 5,573.84/x
  3. Step 3: Cross multiply
    10,289.57x = 14,199.57 × 5,573.84
  4. Step 4: Simplify right side
    10,289.57x = 79,146,060.25
  5. Step 5: Solve for x
    x = 79,146,060.25/10,289.57
  6. Step 6: Final answer
    x = 7,691.88

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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.