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Finding the Fourth Proportional to 7,748.69, 10,693.17 and 4,211.87

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Solution

The fourth proportional to 7,748.69, 10,693.17 and 4,211.87 is: 5,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.69 : 10,693.17 = 4,211.87 : x
  2. Step 2: Convert to fraction form
    7,748.69/10,693.17 = 4,211.87/x
  3. Step 3: Cross multiply
    7,748.69x = 10,693.17 × 4,211.87
  4. Step 4: Simplify right side
    7,748.69x = 45,038,241.93
  5. Step 5: Solve for x
    x = 45,038,241.93/7,748.69
  6. Step 6: Final answer
    x = 5,812.37

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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.