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Finding the Fourth Proportional to 10,289.59, 14,199.70 and 5,573.87

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Solution

The fourth proportional to 10,289.59, 14,199.70 and 5,573.87 is: 7,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.59 : 14,199.70 = 5,573.87 : x
  2. Step 2: Convert to fraction form
    10,289.59/14,199.70 = 5,573.87/x
  3. Step 3: Cross multiply
    10,289.59x = 14,199.70 × 5,573.87
  4. Step 4: Simplify right side
    10,289.59x = 79,147,196.91
  5. Step 5: Solve for x
    x = 79,147,196.91/10,289.59
  6. Step 6: Final answer
    x = 7,691.97

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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.