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Finding the Fourth Proportional to 10,288.69, 14,198.49 and 5,573.07

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Solution

The fourth proportional to 10,288.69, 14,198.49 and 5,573.07 is: 7,690.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.69 : 14,198.49 = 5,573.07 : x
  2. Step 2: Convert to fraction form
    10,288.69/14,198.49 = 5,573.07/x
  3. Step 3: Cross multiply
    10,288.69x = 14,198.49 × 5,573.07
  4. Step 4: Simplify right side
    10,288.69x = 79,129,178.66
  5. Step 5: Solve for x
    x = 79,129,178.66/10,288.69
  6. Step 6: Final answer
    x = 7,690.89

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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.