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Finding the Fourth Proportional to 7,663.69, 10,573.34 and 4,306.03

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Solution

The fourth proportional to 7,663.69, 10,573.34 and 4,306.03 is: 5,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.69 : 10,573.34 = 4,306.03 : x
  2. Step 2: Convert to fraction form
    7,663.69/10,573.34 = 4,306.03/x
  3. Step 3: Cross multiply
    7,663.69x = 10,573.34 × 4,306.03
  4. Step 4: Simplify right side
    7,663.69x = 45,529,097.71
  5. Step 5: Solve for x
    x = 45,529,097.71/7,663.69
  6. Step 6: Final answer
    x = 5,940.89

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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.