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Finding the Fourth Proportional to 10,206.69, 15,301.53 and 7,092.75

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Solution

The fourth proportional to 10,206.69, 15,301.53 and 7,092.75 is: 10,633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.69 : 15,301.53 = 7,092.75 : x
  2. Step 2: Convert to fraction form
    10,206.69/15,301.53 = 7,092.75/x
  3. Step 3: Cross multiply
    10,206.69x = 15,301.53 × 7,092.75
  4. Step 4: Simplify right side
    10,206.69x = 108,529,926.91
  5. Step 5: Solve for x
    x = 108,529,926.91/10,206.69
  6. Step 6: Final answer
    x = 10,633.21

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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.